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Finding the Fourth Proportional to 408,751,468.80, 563,992,822.16 and 234,877,620.48

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Solution

The fourth proportional to 408,751,468.80, 563,992,822.16 and 234,877,620.48 is: 324,082,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,751,468.80 : 563,992,822.16 = 234,877,620.48 : x
  2. Step 2: Convert to fraction form
    408,751,468.80/563,992,822.16 = 234,877,620.48/x
  3. Step 3: Cross multiply
    408,751,468.80x = 563,992,822.16 × 234,877,620.48
  4. Step 4: Simplify right side
    408,751,468.80x = 132,469,292,036,740,592
  5. Step 5: Solve for x
    x = 132,469,292,036,740,592/408,751,468.80
  6. Step 6: Final answer
    x = 324,082,730.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.