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Finding the Fourth Proportional to 107,612,655,727.20, 161,418,983,590.80 and 107,612,655,727.20

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Solution

The fourth proportional to 107,612,655,727.20, 161,418,983,590.80 and 107,612,655,727.20 is: 161,418,983,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,612,655,727.20 : 161,418,983,590.80 = 107,612,655,727.20 : x
  2. Step 2: Convert to fraction form
    107,612,655,727.20/161,418,983,590.80 = 107,612,655,727.20/x
  3. Step 3: Cross multiply
    107,612,655,727.20x = 161,418,983,590.80 × 107,612,655,727.20
  4. Step 4: Simplify right side
    107,612,655,727.20x = 17,370,725,508,991,305,121,792
  5. Step 5: Solve for x
    x = 17,370,725,508,991,305,121,792/107,612,655,727.20
  6. Step 6: Final answer
    x = 161,418,983,590.80

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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.