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Finding the Fourth Proportional to 724,497,737.20, 1,086,746,605.80 and 724,497,737.20

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Solution

The fourth proportional to 724,497,737.20, 1,086,746,605.80 and 724,497,737.20 is: 1,086,746,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,497,737.20 : 1,086,746,605.80 = 724,497,737.20 : x
  2. Step 2: Convert to fraction form
    724,497,737.20/1,086,746,605.80 = 724,497,737.20/x
  3. Step 3: Cross multiply
    724,497,737.20x = 1,086,746,605.80 × 724,497,737.20
  4. Step 4: Simplify right side
    724,497,737.20x = 787,345,456,811,880,448
  5. Step 5: Solve for x
    x = 787,345,456,811,880,448/724,497,737.20
  6. Step 6: Final answer
    x = 1,086,746,605.80

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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.