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Asked by LexiThe prize is $ x. The first person (Alex) gets half of what the second person (Beatrice) gets. Let's assume Alex gets $ P. Beatrice gets double what Alex gets. So, Beatrice gets $ 2P. The third person (Charlie) gets twice as much as the second person (Beatrice). If Beatrice gets $ 2P, then Charlie gets $ 2P x 3 (which is equal to $ 6P). Summary: Alex: P Beatrice: 2P Charlie: 6P x = P + 2P + 6P x = 9P So, in conclusion: Alex gets one ninth of the prize. (x/9) Beatrice gets two ninths of the prize. (2x/9) Charlie gets six ninths of the prize. (6x/9 = 2x/3)

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