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Finding the Fourth Proportional to 499,285,232.20, 747,468,033.90 and 355,958,000.20

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Solution

The fourth proportional to 499,285,232.20, 747,468,033.90 and 355,958,000.20 is: 532,896,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,285,232.20 : 747,468,033.90 = 355,958,000.20 : x
  2. Step 2: Convert to fraction form
    499,285,232.20/747,468,033.90 = 355,958,000.20/x
  3. Step 3: Cross multiply
    499,285,232.20x = 747,468,033.90 × 355,958,000.20
  4. Step 4: Simplify right side
    499,285,232.20x = 266,067,226,560,469,792
  5. Step 5: Solve for x
    x = 266,067,226,560,469,792/499,285,232.20
  6. Step 6: Final answer
    x = 532,896,247.28

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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.