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How heavy is 370 grains?

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It's about 0.0000003 times as heavy as a Blue Whale
In other words, 370 grains is 0.000000229 times the weight of a Blue Whale, and the weight of a Blue Whale is 4,370,000 times that amount.
(Balaenoptera musculus)
Blue whales weigh between 1,610,000,000 grains. The largest mammal to have ever lived, blue whales feed almost exclusively on krill — tiny invertebrates weighing about 15.40 grains each.
It's about 0.0000004 times as heavy as The Space Shuttle
In other words, 370 grains is 0.00000034 times the weight of The Space Shuttle, and the weight of The Space Shuttle is 2,900,000 times that amount.
(for Endeavour, a.k.a. OV-105, a.k.a. Orbiter Vehicle-105) (empty weight, excluding main engines)
When empty, the space shuttle Endeavour weighs 1,100,000,000 grains. The shuttle's spacious cargo bay carried the Chandra X-ray Observatory into orbit in 1999 — a payload that weighed 300,000,000 grains.
It's about one-four-hundred-fifty-thousandth as heavy as an Anchor of a Cruise Ship
In other words, 370 grains is 0.00000212 times the weight of an Anchor of a Cruise Ship, and the weight of an Anchor of a Cruise Ship is 472,000 times that amount.
(for QE2 forward anchor, a.k.a. RMS Queen Elizabeth 2)
Each of the forward anchors of the RMS Queen Elizabeth 2 weighs 174,000,000 grains. The anchor of the QE2 now sits in front of the Holyrood Church in Southampton, England, United Kingdom, along a pedestrian tourist route known as "the QE2 mile."
It's about one-three-hundred-fifty-thousandth as heavy as a Tyrannosaurus rex
In other words, 370 grains is 0.00000272 times the weight of a Tyrannosaurus rex, and the weight of a Tyrannosaurus rex is 368,000 times that amount.
(for FMNH PR 2081, a.k.a. "Sue") (a.k.a. Tyrannosaurus, a.k.a. T-Rex) (estimated live weight)
The notable Tyrannosaurus specimen housed at the Field Museum of Natural History in Chicago, Illinois, "Sue," is estimated to have weighed about 136,000,000 grains while alive. A renowned predator in popular culture, the teeth of tyrannosaurus rex were up to 33.02 cm (13 in) long.
It's about one-two-hundred-fifty-thousandth as heavy as an Elephant
In other words, 370 grains is 0.0000040 times the weight of an Elephant, and the weight of an Elephant is 250,000 times that amount.
(for African bush elephant, Loxodonta africana) (Adult, bull)
A bull African bush elephant weighs about 94,000,000 grains. Among African elephants, both males and females have tusks (whereas female Asian elephants, Elephas maximus, do not have tusks) which can grow to 3 m (10 ft) and typically weigh about 62,000,000 grains
It's about one-one-hundred-fifty-thousandth as heavy as a Hippopotamus
In other words, 370 grains is 0.0000063 times the weight of a Hippopotamus, and the weight of a Hippopotamus is 160,000 times that amount.
(Hippopotamus amphibius) (adult, male)
The average weight of an adult male hippopotamus ranges from 58,000,000 grains. Appearances to the contrary, adult hippos cannot swim or float in water; they actually move by leaping and walking across lake bottoms at about 8 kph (5 mph).
It's about one-one-hundred-thousandth as heavy as The Tongue of a Blue Whale
In other words, 370 grains is 0.0000089 times the weight of The Tongue of a Blue Whale, and the weight of The Tongue of a Blue Whale is 110,000 times that amount.
(Balaenoptera musculus) (adult)
The tongue of a Blue Whale can weigh up to 42,000,000 grains. Despite their tremendous size, blue whales feed almost exclusively on tiny crustaceans called krill and cannot swallow anything much larger than a beach ball.