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Finding the Fourth Proportional to 272,652,167.80, 408,978,251.70 and 157,577,476.60

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Solution

The fourth proportional to 272,652,167.80, 408,978,251.70 and 157,577,476.60 is: 236,366,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,652,167.80 : 408,978,251.70 = 157,577,476.60 : x
  2. Step 2: Convert to fraction form
    272,652,167.80/408,978,251.70 = 157,577,476.60/x
  3. Step 3: Cross multiply
    272,652,167.80x = 408,978,251.70 × 157,577,476.60
  4. Step 4: Simplify right side
    272,652,167.80x = 64,445,760,887,165,656
  5. Step 5: Solve for x
    x = 64,445,760,887,165,656/272,652,167.80
  6. Step 6: Final answer
    x = 236,366,214.90

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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.