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Finding the Fourth Proportional to 264,654,469.20, 396,981,703.80 and 252,750,190.80

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Solution

The fourth proportional to 264,654,469.20, 396,981,703.80 and 252,750,190.80 is: 379,125,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,654,469.20 : 396,981,703.80 = 252,750,190.80 : x
  2. Step 2: Convert to fraction form
    264,654,469.20/396,981,703.80 = 252,750,190.80/x
  3. Step 3: Cross multiply
    264,654,469.20x = 396,981,703.80 × 252,750,190.80
  4. Step 4: Simplify right side
    264,654,469.20x = 100,337,201,379,559,088
  5. Step 5: Solve for x
    x = 100,337,201,379,559,088/264,654,469.20
  6. Step 6: Final answer
    x = 379,125,286.20

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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.