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Finding the Fourth Proportional to 3,400,512.90, 5,100,769.35 and 3,400,512.90

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Solution

The fourth proportional to 3,400,512.90, 5,100,769.35 and 3,400,512.90 is: 5,100,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,512.90 : 5,100,769.35 = 3,400,512.90 : x
  2. Step 2: Convert to fraction form
    3,400,512.90/5,100,769.35 = 3,400,512.90/x
  3. Step 3: Cross multiply
    3,400,512.90x = 5,100,769.35 × 3,400,512.90
  4. Step 4: Simplify right side
    3,400,512.90x = 17,345,231,974,599.61
  5. Step 5: Solve for x
    x = 17,345,231,974,599.61/3,400,512.90
  6. Step 6: Final answer
    x = 5,100,769.35

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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.