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Finding the Fourth Proportional to 512,068,066.80, 768,102,100.20 and 512,068,066.80

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Solution

The fourth proportional to 512,068,066.80, 768,102,100.20 and 512,068,066.80 is: 768,102,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,068,066.80 : 768,102,100.20 = 512,068,066.80 : x
  2. Step 2: Convert to fraction form
    512,068,066.80/768,102,100.20 = 512,068,066.80/x
  3. Step 3: Cross multiply
    512,068,066.80x = 768,102,100.20 × 512,068,066.80
  4. Step 4: Simplify right side
    512,068,066.80x = 393,320,557,554,433,920
  5. Step 5: Solve for x
    x = 393,320,557,554,433,920/512,068,066.80
  6. Step 6: Final answer
    x = 768,102,100.20

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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.