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Finding the Fourth Proportional to 272,512,846.80, 408,769,270.20 and 272,512,846.80

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Solution

The fourth proportional to 272,512,846.80, 408,769,270.20 and 272,512,846.80 is: 408,769,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,512,846.80 : 408,769,270.20 = 272,512,846.80 : x
  2. Step 2: Convert to fraction form
    272,512,846.80/408,769,270.20 = 272,512,846.80/x
  3. Step 3: Cross multiply
    272,512,846.80x = 408,769,270.20 × 272,512,846.80
  4. Step 4: Simplify right side
    272,512,846.80x = 111,394,877,506,560,400
  5. Step 5: Solve for x
    x = 111,394,877,506,560,400/272,512,846.80
  6. Step 6: Final answer
    x = 408,769,270.20

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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.