Finding the Fourth Proportional to 1,010,857,294.29, 1,516,378,475.84 and 283,841,107.41
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Solution
The fourth proportional to 1,010,857,294.29, 1,516,378,475.84 and 283,841,107.41 is: 425,787,644.08
Step by Step Solution
- Step 1: Write the proportion equation
1,010,857,294.29 : 1,516,378,475.84 = 283,841,107.41 : x - Step 2: Convert to fraction form
1,010,857,294.29/1,516,378,475.84 = 283,841,107.41/x - Step 3: Cross multiply
1,010,857,294.29x = 1,516,378,475.84 × 283,841,107.41 - Step 4: Simplify right side
1,010,857,294.29x = 430,410,545,833,694,400 - Step 5: Solve for x
x = 430,410,545,833,694,400/1,010,857,294.29 - Step 6: Final answer
x = 425,787,644.08
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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.