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Finding the Fourth Proportional to 392,258,409.80, 588,387,614.70 and 256,209,513.80

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Solution

The fourth proportional to 392,258,409.80, 588,387,614.70 and 256,209,513.80 is: 384,314,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,258,409.80 : 588,387,614.70 = 256,209,513.80 : x
  2. Step 2: Convert to fraction form
    392,258,409.80/588,387,614.70 = 256,209,513.80/x
  3. Step 3: Cross multiply
    392,258,409.80x = 588,387,614.70 × 256,209,513.80
  4. Step 4: Simplify right side
    392,258,409.80x = 150,750,504,688,228,768
  5. Step 5: Solve for x
    x = 150,750,504,688,228,768/392,258,409.80
  6. Step 6: Final answer
    x = 384,314,270.70

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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.