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Finding the Fourth Proportional to 260,777,110.20, 391,165,665.30 and 260,777,110.20

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Solution

The fourth proportional to 260,777,110.20, 391,165,665.30 and 260,777,110.20 is: 391,165,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,777,110.20 : 391,165,665.30 = 260,777,110.20 : x
  2. Step 2: Convert to fraction form
    260,777,110.20/391,165,665.30 = 260,777,110.20/x
  3. Step 3: Cross multiply
    260,777,110.20x = 391,165,665.30 × 260,777,110.20
  4. Step 4: Simplify right side
    260,777,110.20x = 102,007,051,806,394,416
  5. Step 5: Solve for x
    x = 102,007,051,806,394,416/260,777,110.20
  6. Step 6: Final answer
    x = 391,165,665.30

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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.