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Finding the Fourth Proportional to 414,881,411.90, 622,353,610.65 and 123,725,810.30

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Solution

The fourth proportional to 414,881,411.90, 622,353,610.65 and 123,725,810.30 is: 185,598,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,881,411.90 : 622,353,610.65 = 123,725,810.30 : x
  2. Step 2: Convert to fraction form
    414,881,411.90/622,353,610.65 = 123,725,810.30/x
  3. Step 3: Cross multiply
    414,881,411.90x = 622,353,610.65 × 123,725,810.30
  4. Step 4: Simplify right side
    414,881,411.90x = 77,001,204,770,801,952
  5. Step 5: Solve for x
    x = 77,001,204,770,801,952/414,881,411.90
  6. Step 6: Final answer
    x = 185,598,107.22

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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.