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Finding the Fourth Proportional to 541,722,233.80, 747,640,502.22 and 321,705,659.80

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Solution

The fourth proportional to 541,722,233.80, 747,640,502.22 and 321,705,659.80 is: 443,991,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,722,233.80 : 747,640,502.22 = 321,705,659.80 : x
  2. Step 2: Convert to fraction form
    541,722,233.80/747,640,502.22 = 321,705,659.80/x
  3. Step 3: Cross multiply
    541,722,233.80x = 747,640,502.22 × 321,705,659.80
  4. Step 4: Simplify right side
    541,722,233.80x = 240,520,181,059,888,480
  5. Step 5: Solve for x
    x = 240,520,181,059,888,480/541,722,233.80
  6. Step 6: Final answer
    x = 443,991,710.24

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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.