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Finding the Fourth Proportional to 664,300,512.45, 996,450,768.68 and 664,300,512.45

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Solution

The fourth proportional to 664,300,512.45, 996,450,768.68 and 664,300,512.45 is: 996,450,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,300,512.45 : 996,450,768.68 = 664,300,512.45 : x
  2. Step 2: Convert to fraction form
    664,300,512.45/996,450,768.68 = 664,300,512.45/x
  3. Step 3: Cross multiply
    664,300,512.45x = 996,450,768.68 × 664,300,512.45
  4. Step 4: Simplify right side
    664,300,512.45x = 661,942,756,261,998,976
  5. Step 5: Solve for x
    x = 661,942,756,261,998,976/664,300,512.45
  6. Step 6: Final answer
    x = 996,450,768.68

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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.