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Finding the Fourth Proportional to 276,000,793.20, 413,649,520.20 and 146,670,361.20

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Solution

The fourth proportional to 276,000,793.20, 413,649,520.20 and 146,670,361.20 is: 219,818,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,000,793.20 : 413,649,520.20 = 146,670,361.20 : x
  2. Step 2: Convert to fraction form
    276,000,793.20/413,649,520.20 = 146,670,361.20/x
  3. Step 3: Cross multiply
    276,000,793.20x = 413,649,520.20 × 146,670,361.20
  4. Step 4: Simplify right side
    276,000,793.20x = 60,670,124,537,940,688
  5. Step 5: Solve for x
    x = 60,670,124,537,940,688/276,000,793.20
  6. Step 6: Final answer
    x = 219,818,660.06

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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.