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Finding the Fourth Proportional to 681,572,282.20, 1,022,358,423.30 and 681,572,282.20

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Solution

The fourth proportional to 681,572,282.20, 1,022,358,423.30 and 681,572,282.20 is: 1,022,358,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,572,282.20 : 1,022,358,423.30 = 681,572,282.20 : x
  2. Step 2: Convert to fraction form
    681,572,282.20/1,022,358,423.30 = 681,572,282.20/x
  3. Step 3: Cross multiply
    681,572,282.20x = 1,022,358,423.30 × 681,572,282.20
  4. Step 4: Simplify right side
    681,572,282.20x = 696,811,163,794,974,720
  5. Step 5: Solve for x
    x = 696,811,163,794,974,720/681,572,282.20
  6. Step 6: Final answer
    x = 1,022,358,423.30

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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.