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Finding the Fourth Proportional to 649,542,404.95, 974,313,607.43 and 442,918,144.15

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Solution

The fourth proportional to 649,542,404.95, 974,313,607.43 and 442,918,144.15 is: 664,377,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,542,404.95 : 974,313,607.43 = 442,918,144.15 : x
  2. Step 2: Convert to fraction form
    649,542,404.95/974,313,607.43 = 442,918,144.15/x
  3. Step 3: Cross multiply
    649,542,404.95x = 974,313,607.43 × 442,918,144.15
  4. Step 4: Simplify right side
    649,542,404.95x = 431,541,174,822,987,200
  5. Step 5: Solve for x
    x = 431,541,174,822,987,200/649,542,404.95
  6. Step 6: Final answer
    x = 664,377,216.23

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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.