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Finding the Fourth Proportional to 498,206,721.70, 747,310,082.55 and 498,206,721.70

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Solution

The fourth proportional to 498,206,721.70, 747,310,082.55 and 498,206,721.70 is: 747,310,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,206,721.70 : 747,310,082.55 = 498,206,721.70 : x
  2. Step 2: Convert to fraction form
    498,206,721.70/747,310,082.55 = 498,206,721.70/x
  3. Step 3: Cross multiply
    498,206,721.70x = 747,310,082.55 × 498,206,721.70
  4. Step 4: Simplify right side
    498,206,721.70x = 372,314,906,320,591,872
  5. Step 5: Solve for x
    x = 372,314,906,320,591,872/498,206,721.70
  6. Step 6: Final answer
    x = 747,310,082.55

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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.