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Finding the Fourth Proportional to 408,751,463.76, 563,992,815.24 and 234,877,615.44

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Solution

The fourth proportional to 408,751,463.76, 563,992,815.24 and 234,877,615.44 is: 324,082,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,751,463.76 : 563,992,815.24 = 234,877,615.44 : x
  2. Step 2: Convert to fraction form
    408,751,463.76/563,992,815.24 = 234,877,615.44/x
  3. Step 3: Cross multiply
    408,751,463.76x = 563,992,815.24 × 234,877,615.44
  4. Step 4: Simplify right side
    408,751,463.76x = 132,469,287,568,863,696
  5. Step 5: Solve for x
    x = 132,469,287,568,863,696/408,751,463.76
  6. Step 6: Final answer
    x = 324,082,723.40

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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.