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Finding the Fourth Proportional to 541,722,232.80, 747,640,500.84 and 321,705,658.80

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Solution

The fourth proportional to 541,722,232.80, 747,640,500.84 and 321,705,658.80 is: 443,991,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,722,232.80 : 747,640,500.84 = 321,705,658.80 : x
  2. Step 2: Convert to fraction form
    541,722,232.80/747,640,500.84 = 321,705,658.80/x
  3. Step 3: Cross multiply
    541,722,232.80x = 747,640,500.84 × 321,705,658.80
  4. Step 4: Simplify right side
    541,722,232.80x = 240,520,179,868,294,176
  5. Step 5: Solve for x
    x = 240,520,179,868,294,176/541,722,232.80
  6. Step 6: Final answer
    x = 443,991,708.86

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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.