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Finding the Fourth Proportional to 498,272,542.80, 747,408,814.20 and 469,574,728.80

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Solution

The fourth proportional to 498,272,542.80, 747,408,814.20 and 469,574,728.80 is: 704,362,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,272,542.80 : 747,408,814.20 = 469,574,728.80 : x
  2. Step 2: Convert to fraction form
    498,272,542.80/747,408,814.20 = 469,574,728.80/x
  3. Step 3: Cross multiply
    498,272,542.80x = 747,408,814.20 × 469,574,728.80
  4. Step 4: Simplify right side
    498,272,542.80x = 350,964,291,230,694,592
  5. Step 5: Solve for x
    x = 350,964,291,230,694,592/498,272,542.80
  6. Step 6: Final answer
    x = 704,362,093.20

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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.