Finding the Fourth Proportional to 565,442,268,965.86, 848,100,750,159.12 and 202,393,434,372.17
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Solution
The fourth proportional to 565,442,268,965.86, 848,100,750,159.12 and 202,393,434,372.17 is: 303,567,725,547.38
Step by Step Solution
- Step 1: Write the proportion equation
565,442,268,965.86 : 848,100,750,159.12 = 202,393,434,372.17 : x - Step 2: Convert to fraction form
565,442,268,965.86/848,100,750,159.12 = 202,393,434,372.17/x - Step 3: Cross multiply
565,442,268,965.86x = 848,100,750,159.12 × 202,393,434,372.17 - Step 4: Simplify right side
565,442,268,965.86x = 171,650,023,518,318,018,691,072 - Step 5: Solve for x
x = 171,650,023,518,318,018,691,072/565,442,268,965.86 - Step 6: Final answer
x = 303,567,725,547.38
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.