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Finding the Fourth Proportional to 31,301,987,744.10, 46,952,981,616.15 and 31,301,987,744.10

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Solution

The fourth proportional to 31,301,987,744.10, 46,952,981,616.15 and 31,301,987,744.10 is: 46,952,981,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301,987,744.10 : 46,952,981,616.15 = 31,301,987,744.10 : x
  2. Step 2: Convert to fraction form
    31,301,987,744.10/46,952,981,616.15 = 31,301,987,744.10/x
  3. Step 3: Cross multiply
    31,301,987,744.10x = 46,952,981,616.15 × 31,301,987,744.10
  4. Step 4: Simplify right side
    31,301,987,744.10x = 1,469,721,655,097,679,937,536
  5. Step 5: Solve for x
    x = 1,469,721,655,097,679,937,536/31,301,987,744.10
  6. Step 6: Final answer
    x = 46,952,981,616.15

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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.