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Finding the Fourth Proportional to 414,538,016.40, 621,523,589.40 and 196,292,912.40

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Solution

The fourth proportional to 414,538,016.40, 621,523,589.40 and 196,292,912.40 is: 294,305,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538,016.40 : 621,523,589.40 = 196,292,912.40 : x
  2. Step 2: Convert to fraction form
    414,538,016.40/621,523,589.40 = 196,292,912.40/x
  3. Step 3: Cross multiply
    414,538,016.40x = 621,523,589.40 × 196,292,912.40
  4. Step 4: Simplify right side
    414,538,016.40x = 122,000,675,488,627,760
  5. Step 5: Solve for x
    x = 122,000,675,488,627,760/414,538,016.40
  6. Step 6: Final answer
    x = 294,305,155.77

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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.