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Finding the Fourth Proportional to 664,848,049.55, 997,272,074.33 and 664,848,049.55

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Solution

The fourth proportional to 664,848,049.55, 997,272,074.33 and 664,848,049.55 is: 997,272,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,848,049.55 : 997,272,074.33 = 664,848,049.55 : x
  2. Step 2: Convert to fraction form
    664,848,049.55/997,272,074.33 = 664,848,049.55/x
  3. Step 3: Cross multiply
    664,848,049.55x = 997,272,074.33 × 664,848,049.55
  4. Step 4: Simplify right side
    664,848,049.55x = 663,034,393,485,658,880
  5. Step 5: Solve for x
    x = 663,034,393,485,658,880/664,848,049.55
  6. Step 6: Final answer
    x = 997,272,074.33

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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.