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Finding the Fourth Proportional to 494,692,499.90, 741,849,793.05 and 149,531,411.90

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Solution

The fourth proportional to 494,692,499.90, 741,849,793.05 and 149,531,411.90 is: 224,240,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,692,499.90 : 741,849,793.05 = 149,531,411.90 : x
  2. Step 2: Convert to fraction form
    494,692,499.90/741,849,793.05 = 149,531,411.90/x
  3. Step 3: Cross multiply
    494,692,499.90x = 741,849,793.05 × 149,531,411.90
  4. Step 4: Simplify right side
    494,692,499.90x = 110,929,846,972,489,312
  5. Step 5: Solve for x
    x = 110,929,846,972,489,312/494,692,499.90
  6. Step 6: Final answer
    x = 224,240,001.61

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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.