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Finding the Fourth Proportional to 107,802,138.80, 161,703,208.20 and 107,802,138.80

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Solution

The fourth proportional to 107,802,138.80, 161,703,208.20 and 107,802,138.80 is: 161,703,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,802,138.80 : 161,703,208.20 = 107,802,138.80 : x
  2. Step 2: Convert to fraction form
    107,802,138.80/161,703,208.20 = 107,802,138.80/x
  3. Step 3: Cross multiply
    107,802,138.80x = 161,703,208.20 × 107,802,138.80
  4. Step 4: Simplify right side
    107,802,138.80x = 17,431,951,694,781,696
  5. Step 5: Solve for x
    x = 17,431,951,694,781,696/107,802,138.80
  6. Step 6: Final answer
    x = 161,703,208.20

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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.