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Finding the Fourth Proportional to 299,964,123.75, 413,951,098.43 and 167,807,327.31

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Solution

The fourth proportional to 299,964,123.75, 413,951,098.43 and 167,807,327.31 is: 231,574,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,964,123.75 : 413,951,098.43 = 167,807,327.31 : x
  2. Step 2: Convert to fraction form
    299,964,123.75/413,951,098.43 = 167,807,327.31/x
  3. Step 3: Cross multiply
    299,964,123.75x = 413,951,098.43 × 167,807,327.31
  4. Step 4: Simplify right side
    299,964,123.75x = 69,464,027,464,397,192
  5. Step 5: Solve for x
    x = 69,464,027,464,397,192/299,964,123.75
  6. Step 6: Final answer
    x = 231,574,451.62

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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.