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Finding the Fourth Proportional to 279,937,724.40, 419,906,586.60 and 164,863,033.20

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Solution

The fourth proportional to 279,937,724.40, 419,906,586.60 and 164,863,033.20 is: 247,294,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,724.40 : 419,906,586.60 = 164,863,033.20 : x
  2. Step 2: Convert to fraction form
    279,937,724.40/419,906,586.60 = 164,863,033.20/x
  3. Step 3: Cross multiply
    279,937,724.40x = 419,906,586.60 × 164,863,033.20
  4. Step 4: Simplify right side
    279,937,724.40x = 69,227,073,527,534,472
  5. Step 5: Solve for x
    x = 69,227,073,527,534,472/279,937,724.40
  6. Step 6: Final answer
    x = 247,294,549.80

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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.