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Finding the Fourth Proportional to 498,528,472.10, 747,792,708.15 and 413,593,816.10

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Solution

The fourth proportional to 498,528,472.10, 747,792,708.15 and 413,593,816.10 is: 620,390,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,472.10 : 747,792,708.15 = 413,593,816.10 : x
  2. Step 2: Convert to fraction form
    498,528,472.10/747,792,708.15 = 413,593,816.10/x
  3. Step 3: Cross multiply
    498,528,472.10x = 747,792,708.15 × 413,593,816.10
  4. Step 4: Simplify right side
    498,528,472.10x = 309,282,439,815,512,064
  5. Step 5: Solve for x
    x = 309,282,439,815,512,064/498,528,472.10
  6. Step 6: Final answer
    x = 620,390,724.15

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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.