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Finding the Fourth Proportional to 265,724,344.80, 398,586,517.20 and 149,019,901.20

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Solution

The fourth proportional to 265,724,344.80, 398,586,517.20 and 149,019,901.20 is: 223,529,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,724,344.80 : 398,586,517.20 = 149,019,901.20 : x
  2. Step 2: Convert to fraction form
    265,724,344.80/398,586,517.20 = 149,019,901.20/x
  3. Step 3: Cross multiply
    265,724,344.80x = 398,586,517.20 × 149,019,901.20
  4. Step 4: Simplify right side
    265,724,344.80x = 59,397,323,412,796,096
  5. Step 5: Solve for x
    x = 59,397,323,412,796,096/265,724,344.80
  6. Step 6: Final answer
    x = 223,529,851.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.