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Finding the Fourth Proportional to 392,256,401.80, 588,384,602.70 and 256,207,505.80

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Solution

The fourth proportional to 392,256,401.80, 588,384,602.70 and 256,207,505.80 is: 384,311,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,256,401.80 : 588,384,602.70 = 256,207,505.80 : x
  2. Step 2: Convert to fraction form
    392,256,401.80/588,384,602.70 = 256,207,505.80/x
  3. Step 3: Cross multiply
    392,256,401.80x = 588,384,602.70 × 256,207,505.80
  4. Step 4: Simplify right side
    392,256,401.80x = 150,748,551,508,890,976
  5. Step 5: Solve for x
    x = 150,748,551,508,890,976/392,256,401.80
  6. Step 6: Final answer
    x = 384,311,258.70

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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.