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Finding the Fourth Proportional to 664,848,000.42, 997,272,000.64 and 664,848,000.42

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Solution

The fourth proportional to 664,848,000.42, 997,272,000.64 and 664,848,000.42 is: 997,272,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,848,000.42 : 997,272,000.64 = 664,848,000.42 : x
  2. Step 2: Convert to fraction form
    664,848,000.42/997,272,000.64 = 664,848,000.42/x
  3. Step 3: Cross multiply
    664,848,000.42x = 997,272,000.64 × 664,848,000.42
  4. Step 4: Simplify right side
    664,848,000.42x = 663,034,295,500,356,864
  5. Step 5: Solve for x
    x = 663,034,295,500,356,864/664,848,000.42
  6. Step 6: Final answer
    x = 997,272,000.64

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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.