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Finding the Fourth Proportional to 732,354,692.15, 1,010,529,672.06 and 431,193,793.14

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Solution

The fourth proportional to 732,354,692.15, 1,010,529,672.06 and 431,193,793.14 is: 594,976,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,354,692.15 : 1,010,529,672.06 = 431,193,793.14 : x
  2. Step 2: Convert to fraction form
    732,354,692.15/1,010,529,672.06 = 431,193,793.14/x
  3. Step 3: Cross multiply
    732,354,692.15x = 1,010,529,672.06 × 431,193,793.14
  4. Step 4: Simplify right side
    732,354,692.15x = 435,734,122,374,870,592
  5. Step 5: Solve for x
    x = 435,734,122,374,870,592/732,354,692.15
  6. Step 6: Final answer
    x = 594,976,897.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.