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Finding the Fourth Proportional to 491,230,846.80, 736,846,270.20 and 261,648,334.80

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Solution

The fourth proportional to 491,230,846.80, 736,846,270.20 and 261,648,334.80 is: 392,472,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,230,846.80 : 736,846,270.20 = 261,648,334.80 : x
  2. Step 2: Convert to fraction form
    491,230,846.80/736,846,270.20 = 261,648,334.80/x
  3. Step 3: Cross multiply
    491,230,846.80x = 736,846,270.20 × 261,648,334.80
  4. Step 4: Simplify right side
    491,230,846.80x = 192,794,599,601,420,896
  5. Step 5: Solve for x
    x = 192,794,599,601,420,896/491,230,846.80
  6. Step 6: Final answer
    x = 392,472,502.20

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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.