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Finding the Fourth Proportional to 510,163,693,644.80, 765,245,540,467.20 and 510,163,693,644.80

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Solution

The fourth proportional to 510,163,693,644.80, 765,245,540,467.20 and 510,163,693,644.80 is: 765,245,540,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,163,693,644.80 : 765,245,540,467.20 = 510,163,693,644.80 : x
  2. Step 2: Convert to fraction form
    510,163,693,644.80/765,245,540,467.20 = 510,163,693,644.80/x
  3. Step 3: Cross multiply
    510,163,693,644.80x = 765,245,540,467.20 × 510,163,693,644.80
  4. Step 4: Simplify right side
    510,163,693,644.80x = 390,400,491,469,957,993,857,024
  5. Step 5: Solve for x
    x = 390,400,491,469,957,993,857,024/510,163,693,644.80
  6. Step 6: Final answer
    x = 765,245,540,467.20

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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.