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Finding the Fourth Proportional to 299,541,711.20, 413,359,862.63 and 167,383,793.48

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Solution

The fourth proportional to 299,541,711.20, 413,359,862.63 and 167,383,793.48 is: 230,985,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,541,711.20 : 413,359,862.63 = 167,383,793.48 : x
  2. Step 2: Convert to fraction form
    299,541,711.20/413,359,862.63 = 167,383,793.48/x
  3. Step 3: Cross multiply
    299,541,711.20x = 413,359,862.63 × 167,383,793.48
  4. Step 4: Simplify right side
    299,541,711.20x = 69,189,741,876,477,368
  5. Step 5: Solve for x
    x = 69,189,741,876,477,368/299,541,711.20
  6. Step 6: Final answer
    x = 230,985,332.90

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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.