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Finding the Fourth Proportional to 264,260,764.95, 396,391,147.43 and 264,260,764.95

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Solution

The fourth proportional to 264,260,764.95, 396,391,147.43 and 264,260,764.95 is: 396,391,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,260,764.95 : 396,391,147.43 = 264,260,764.95 : x
  2. Step 2: Convert to fraction form
    264,260,764.95/396,391,147.43 = 264,260,764.95/x
  3. Step 3: Cross multiply
    264,260,764.95x = 396,391,147.43 × 264,260,764.95
  4. Step 4: Simplify right side
    264,260,764.95x = 104,750,627,837,938,720
  5. Step 5: Solve for x
    x = 104,750,627,837,938,720/264,260,764.95
  6. Step 6: Final answer
    x = 396,391,147.43

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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.