# The Size of An Atom

Classical Mechanics Level pending

Consider this scaling problem:
A single hydrogen atom at ground state is $$1.058$$ Å large. This is also represented as $$105.8$$ picometers or $$1.05835442134×10^{-10}$$ meters.

It's easy to visualize the number 105.8 or even 106. Much harder to picture $$1.05835442134×10^{-10}$$. If you blew up a hydrogen atom to the size of a $$12.17\text{ cm}$$ (or $$0.1217$$ m) wide grapefruit (an average grapefruit size), and a real grapefruit grew proportionally, approximately how big would the real grapefruit grow to be?

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