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Finding the Fourth Proportional to 392,509,906.42, 541,667,253.36 and 216,304,224.16

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Solution

The fourth proportional to 392,509,906.42, 541,667,253.36 and 216,304,224.16 is: 298,501,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,509,906.42 : 541,667,253.36 = 216,304,224.16 : x
  2. Step 2: Convert to fraction form
    392,509,906.42/541,667,253.36 = 216,304,224.16/x
  3. Step 3: Cross multiply
    392,509,906.42x = 541,667,253.36 × 216,304,224.16
  4. Step 4: Simplify right side
    392,509,906.42x = 117,164,914,990,912,960
  5. Step 5: Solve for x
    x = 117,164,914,990,912,960/392,509,906.42
  6. Step 6: Final answer
    x = 298,501,803.58

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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.