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Finding the Fourth Proportional to 498,325,633.70, 747,488,450.55 and 265,873,340.30

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Solution

The fourth proportional to 498,325,633.70, 747,488,450.55 and 265,873,340.30 is: 398,810,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,325,633.70 : 747,488,450.55 = 265,873,340.30 : x
  2. Step 2: Convert to fraction form
    498,325,633.70/747,488,450.55 = 265,873,340.30/x
  3. Step 3: Cross multiply
    498,325,633.70x = 747,488,450.55 × 265,873,340.30
  4. Step 4: Simplify right side
    498,325,633.70x = 198,737,251,183,399,872
  5. Step 5: Solve for x
    x = 198,737,251,183,399,872/498,325,633.70
  6. Step 6: Final answer
    x = 398,810,010.45

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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.