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Finding the Fourth Proportional to 667,583,809.80, 1,001,375,714.70 and 568,948,360.20

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Solution

The fourth proportional to 667,583,809.80, 1,001,375,714.70 and 568,948,360.20 is: 853,422,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,583,809.80 : 1,001,375,714.70 = 568,948,360.20 : x
  2. Step 2: Convert to fraction form
    667,583,809.80/1,001,375,714.70 = 568,948,360.20/x
  3. Step 3: Cross multiply
    667,583,809.80x = 1,001,375,714.70 × 568,948,360.20
  4. Step 4: Simplify right side
    667,583,809.80x = 569,731,070,822,668,096
  5. Step 5: Solve for x
    x = 569,731,070,822,668,096/667,583,809.80
  6. Step 6: Final answer
    x = 853,422,540.30

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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.