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Finding the Fourth Proportional to 220,329,828,695.70, 309,049,491,404.70 and 220,329,828,695.70

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Solution

The fourth proportional to 220,329,828,695.70, 309,049,491,404.70 and 220,329,828,695.70 is: 309,049,491,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,329,828,695.70 : 309,049,491,404.70 = 220,329,828,695.70 : x
  2. Step 2: Convert to fraction form
    220,329,828,695.70/309,049,491,404.70 = 220,329,828,695.70/x
  3. Step 3: Cross multiply
    220,329,828,695.70x = 309,049,491,404.70 × 220,329,828,695.70
  4. Step 4: Simplify right side
    220,329,828,695.70x = 68,092,821,499,690,763,681,792
  5. Step 5: Solve for x
    x = 68,092,821,499,690,763,681,792/220,329,828,695.70
  6. Step 6: Final answer
    x = 309,049,491,404.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.