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Finding the Fourth Proportional to 392,509,866.56, 541,667,198.03 and 216,304,184.16

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Solution

The fourth proportional to 392,509,866.56, 541,667,198.03 and 216,304,184.16 is: 298,501,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,509,866.56 : 541,667,198.03 = 216,304,184.16 : x
  2. Step 2: Convert to fraction form
    392,509,866.56/541,667,198.03 = 216,304,184.16/x
  3. Step 3: Cross multiply
    392,509,866.56x = 541,667,198.03 × 216,304,184.16
  4. Step 4: Simplify right side
    392,509,866.56x = 117,164,881,355,030,784
  5. Step 5: Solve for x
    x = 117,164,881,355,030,784/392,509,866.56
  6. Step 6: Final answer
    x = 298,501,748.21

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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.