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Finding the Fourth Proportional to 110,744,489.20, 166,116,733.80 and 110,744,489.20

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Solution

The fourth proportional to 110,744,489.20, 166,116,733.80 and 110,744,489.20 is: 166,116,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,744,489.20 : 166,116,733.80 = 110,744,489.20 : x
  2. Step 2: Convert to fraction form
    110,744,489.20/166,116,733.80 = 110,744,489.20/x
  3. Step 3: Cross multiply
    110,744,489.20x = 166,116,733.80 × 110,744,489.20
  4. Step 4: Simplify right side
    110,744,489.20x = 18,396,512,832,253,376
  5. Step 5: Solve for x
    x = 18,396,512,832,253,376/110,744,489.20
  6. Step 6: Final answer
    x = 166,116,733.80

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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.