Hitchhiking Through The Galaxy

Algebra Level 2

During one of my summer vacations, I was hitchhiking down Route 1. I happened to notice this globe just sitting out there. Upon further investigation, I learnt that the largest complete scale model of the solar system is in Aroostook County, Maine, U.S.A. The model extends along Route 1 with a 15 m model of the sun at one end and a 2.5 cm model of Pluto 64 km away. On this scale, what should the diameter of the model of Jupiter be, given that its actual diameter is 138350 km?

Note: For reference, Pluto's actual distance from the Sun is approximately \( 5.95 \times 10^{12} \) m, and the sun's actual diameter is approximately \( 1.39 \times 10^9 \) m.

Image Credit: Michael York
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