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Finding the Fourth Proportional to 265,857,404.80, 398,840,020.80 and 150,897,020.80

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Solution

The fourth proportional to 265,857,404.80, 398,840,020.80 and 150,897,020.80 is: 226,376,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,857,404.80 : 398,840,020.80 = 150,897,020.80 : x
  2. Step 2: Convert to fraction form
    265,857,404.80/398,840,020.80 = 150,897,020.80/x
  3. Step 3: Cross multiply
    265,857,404.80x = 398,840,020.80 × 150,897,020.80
  4. Step 4: Simplify right side
    265,857,404.80x = 60,183,770,914,530,040
  5. Step 5: Solve for x
    x = 60,183,770,914,530,040/265,857,404.80
  6. Step 6: Final answer
    x = 226,376,131.82

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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.