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Finding the Fourth Proportional to 1,467,074,834.55, 2,200,612,251.83 and 1,467,074,834.55

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Solution

The fourth proportional to 1,467,074,834.55, 2,200,612,251.83 and 1,467,074,834.55 is: 2,200,612,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,074,834.55 : 2,200,612,251.83 = 1,467,074,834.55 : x
  2. Step 2: Convert to fraction form
    1,467,074,834.55/2,200,612,251.83 = 1,467,074,834.55/x
  3. Step 3: Cross multiply
    1,467,074,834.55x = 2,200,612,251.83 × 1,467,074,834.55
  4. Step 4: Simplify right side
    1,467,074,834.55x = 3,228,462,855,254,864,384
  5. Step 5: Solve for x
    x = 3,228,462,855,254,864,384/1,467,074,834.55
  6. Step 6: Final answer
    x = 2,200,612,251.83

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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.