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Finding the Fourth Proportional to 498,636,200.85, 747,954,301.28 and 498,636,200.85

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Solution

The fourth proportional to 498,636,200.85, 747,954,301.28 and 498,636,200.85 is: 747,954,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,200.85 : 747,954,301.28 = 498,636,200.85 : x
  2. Step 2: Convert to fraction form
    498,636,200.85/747,954,301.28 = 498,636,200.85/x
  3. Step 3: Cross multiply
    498,636,200.85x = 747,954,301.28 × 498,636,200.85
  4. Step 4: Simplify right side
    498,636,200.85x = 372,957,091,197,182,336
  5. Step 5: Solve for x
    x = 372,957,091,197,182,336/498,636,200.85
  6. Step 6: Final answer
    x = 747,954,301.28

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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.