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Finding the Fourth Proportional to 548,979,448,001.34, 823,469,172,002.06 and 548,979,448,001.34

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Solution

The fourth proportional to 548,979,448,001.34, 823,469,172,002.06 and 548,979,448,001.34 is: 823,469,172,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,979,448,001.34 : 823,469,172,002.06 = 548,979,448,001.34 : x
  2. Step 2: Convert to fraction form
    548,979,448,001.34/823,469,172,002.06 = 548,979,448,001.34/x
  3. Step 3: Cross multiply
    548,979,448,001.34x = 823,469,172,002.06 × 548,979,448,001.34
  4. Step 4: Simplify right side
    548,979,448,001.34x = 452,067,651,491,811,429,449,728
  5. Step 5: Solve for x
    x = 452,067,651,491,811,429,449,728/548,979,448,001.34
  6. Step 6: Final answer
    x = 823,469,172,002.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.