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Finding the Fourth Proportional to 502,685,203.80, 754,027,805.70 and 466,405,498.20

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Solution

The fourth proportional to 502,685,203.80, 754,027,805.70 and 466,405,498.20 is: 699,608,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,685,203.80 : 754,027,805.70 = 466,405,498.20 : x
  2. Step 2: Convert to fraction form
    502,685,203.80/754,027,805.70 = 466,405,498.20/x
  3. Step 3: Cross multiply
    502,685,203.80x = 754,027,805.70 × 466,405,498.20
  4. Step 4: Simplify right side
    502,685,203.80x = 351,682,714,374,161,344
  5. Step 5: Solve for x
    x = 351,682,714,374,161,344/502,685,203.80
  6. Step 6: Final answer
    x = 699,608,247.30

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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.