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Finding the Fourth Proportional to 512,510,976,004.92, 768,766,464,007.40 and 512,510,976,004.92

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Solution

The fourth proportional to 512,510,976,004.92, 768,766,464,007.40 and 512,510,976,004.92 is: 768,766,464,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,510,976,004.92 : 768,766,464,007.40 = 512,510,976,004.92 : x
  2. Step 2: Convert to fraction form
    512,510,976,004.92/768,766,464,007.40 = 512,510,976,004.92/x
  3. Step 3: Cross multiply
    512,510,976,004.92x = 768,766,464,007.40 × 512,510,976,004.92
  4. Step 4: Simplify right side
    512,510,976,004.92x = 394,001,250,788,283,743,469,568
  5. Step 5: Solve for x
    x = 394,001,250,788,283,743,469,568/512,510,976,004.92
  6. Step 6: Final answer
    x = 768,766,464,007.40

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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.