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Finding the Fourth Proportional to 323,847,232.80, 485,770,849.20 and 160,110,260.70

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Solution

The fourth proportional to 323,847,232.80, 485,770,849.20 and 160,110,260.70 is: 240,165,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847,232.80 : 485,770,849.20 = 160,110,260.70 : x
  2. Step 2: Convert to fraction form
    323,847,232.80/485,770,849.20 = 160,110,260.70/x
  3. Step 3: Cross multiply
    323,847,232.80x = 485,770,849.20 × 160,110,260.70
  4. Step 4: Simplify right side
    323,847,232.80x = 77,776,897,305,872,384
  5. Step 5: Solve for x
    x = 77,776,897,305,872,384/323,847,232.80
  6. Step 6: Final answer
    x = 240,165,391.05

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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.