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Finding the Fourth Proportional to 27,200,735.20, 40,801,102.80 and 27,200,735.20

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Solution

The fourth proportional to 27,200,735.20, 40,801,102.80 and 27,200,735.20 is: 40,801,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200,735.20 : 40,801,102.80 = 27,200,735.20 : x
  2. Step 2: Convert to fraction form
    27,200,735.20/40,801,102.80 = 27,200,735.20/x
  3. Step 3: Cross multiply
    27,200,735.20x = 40,801,102.80 × 27,200,735.20
  4. Step 4: Simplify right side
    27,200,735.20x = 1,109,819,993,130,778.50
  5. Step 5: Solve for x
    x = 1,109,819,993,130,778.50/27,200,735.20
  6. Step 6: Final answer
    x = 40,801,102.80

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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.