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Finding the Fourth Proportional to 34,137,796.20, 51,206,694.30 and 34,137,796.20

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Solution

The fourth proportional to 34,137,796.20, 51,206,694.30 and 34,137,796.20 is: 51,206,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137,796.20 : 51,206,694.30 = 34,137,796.20 : x
  2. Step 2: Convert to fraction form
    34,137,796.20/51,206,694.30 = 34,137,796.20/x
  3. Step 3: Cross multiply
    34,137,796.20x = 51,206,694.30 × 34,137,796.20
  4. Step 4: Simplify right side
    34,137,796.20x = 1,748,083,694,089,101.75
  5. Step 5: Solve for x
    x = 1,748,083,694,089,101.75/34,137,796.20
  6. Step 6: Final answer
    x = 51,206,694.30

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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.