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Finding the Fourth Proportional to 5,200,557.55, 7,786,839.53 and 5,200,557.55

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Solution

The fourth proportional to 5,200,557.55, 7,786,839.53 and 5,200,557.55 is: 7,786,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,557.55 : 7,786,839.53 = 5,200,557.55 : x
  2. Step 2: Convert to fraction form
    5,200,557.55/7,786,839.53 = 5,200,557.55/x
  3. Step 3: Cross multiply
    5,200,557.55x = 7,786,839.53 × 5,200,557.55
  4. Step 4: Simplify right side
    5,200,557.55x = 40,495,907,082,377.16
  5. Step 5: Solve for x
    x = 40,495,907,082,377.16/5,200,557.55
  6. Step 6: Final answer
    x = 7,786,839.53

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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.