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Finding the Fourth Proportional to 304,180,378.92, 419,769,034.80 and 164,951,103.78

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Solution

The fourth proportional to 304,180,378.92, 419,769,034.80 and 164,951,103.78 is: 227,632,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,180,378.92 : 419,769,034.80 = 164,951,103.78 : x
  2. Step 2: Convert to fraction form
    304,180,378.92/419,769,034.80 = 164,951,103.78/x
  3. Step 3: Cross multiply
    304,180,378.92x = 419,769,034.80 × 164,951,103.78
  4. Step 4: Simplify right side
    304,180,378.92x = 69,241,365,622,925,232
  5. Step 5: Solve for x
    x = 69,241,365,622,925,232/304,180,378.92
  6. Step 6: Final answer
    x = 227,632,583.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.