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Finding the Fourth Proportional to 498,636,000.60, 747,954,000.90 and 471,851,374.20

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Solution

The fourth proportional to 498,636,000.60, 747,954,000.90 and 471,851,374.20 is: 707,777,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,000.60 : 747,954,000.90 = 471,851,374.20 : x
  2. Step 2: Convert to fraction form
    498,636,000.60/747,954,000.90 = 471,851,374.20/x
  3. Step 3: Cross multiply
    498,636,000.60x = 747,954,000.90 × 471,851,374.20
  4. Step 4: Simplify right side
    498,636,000.60x = 352,923,123,163,052,992
  5. Step 5: Solve for x
    x = 352,923,123,163,052,992/498,636,000.60
  6. Step 6: Final answer
    x = 707,777,061.30

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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.