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Finding the Fourth Proportional to 724,498,640.70, 1,086,747,961.05 and 724,498,640.70

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Solution

The fourth proportional to 724,498,640.70, 1,086,747,961.05 and 724,498,640.70 is: 1,086,747,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,498,640.70 : 1,086,747,961.05 = 724,498,640.70 : x
  2. Step 2: Convert to fraction form
    724,498,640.70/1,086,747,961.05 = 724,498,640.70/x
  3. Step 3: Cross multiply
    724,498,640.70x = 1,086,747,961.05 × 724,498,640.70
  4. Step 4: Simplify right side
    724,498,640.70x = 787,347,420,564,221,568
  5. Step 5: Solve for x
    x = 787,347,420,564,221,568/724,498,640.70
  6. Step 6: Final answer
    x = 1,086,747,961.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.