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Finding the Fourth Proportional to 664,848,002.70, 997,272,004.05 and 658,045,557.90

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Solution

The fourth proportional to 664,848,002.70, 997,272,004.05 and 658,045,557.90 is: 987,068,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,848,002.70 : 997,272,004.05 = 658,045,557.90 : x
  2. Step 2: Convert to fraction form
    664,848,002.70/997,272,004.05 = 658,045,557.90/x
  3. Step 3: Cross multiply
    664,848,002.70x = 997,272,004.05 × 658,045,557.90
  4. Step 4: Simplify right side
    664,848,002.70x = 656,250,412,283,133,312
  5. Step 5: Solve for x
    x = 656,250,412,283,133,312/664,848,002.70
  6. Step 6: Final answer
    x = 987,068,336.85

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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.