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Finding the Fourth Proportional to 272,200,512.70, 408,300,769.05 and 272,200,512.70

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Solution

The fourth proportional to 272,200,512.70, 408,300,769.05 and 272,200,512.70 is: 408,300,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200,512.70 : 408,300,769.05 = 272,200,512.70 : x
  2. Step 2: Convert to fraction form
    272,200,512.70/408,300,769.05 = 272,200,512.70/x
  3. Step 3: Cross multiply
    272,200,512.70x = 408,300,769.05 × 272,200,512.70
  4. Step 4: Simplify right side
    272,200,512.70x = 111,139,678,671,214,288
  5. Step 5: Solve for x
    x = 111,139,678,671,214,288/272,200,512.70
  6. Step 6: Final answer
    x = 408,300,769.05

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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.