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Finding the Fourth Proportional to 498,636,201.10, 747,954,301.65 and 332,188,879.90

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Solution

The fourth proportional to 498,636,201.10, 747,954,301.65 and 332,188,879.90 is: 498,283,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,201.10 : 747,954,301.65 = 332,188,879.90 : x
  2. Step 2: Convert to fraction form
    498,636,201.10/747,954,301.65 = 332,188,879.90/x
  3. Step 3: Cross multiply
    498,636,201.10x = 747,954,301.65 × 332,188,879.90
  4. Step 4: Simplify right side
    498,636,201.10x = 248,462,101,681,500,192
  5. Step 5: Solve for x
    x = 248,462,101,681,500,192/498,636,201.10
  6. Step 6: Final answer
    x = 498,283,319.85

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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.