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Finding the Fourth Proportional to 490,613,307,052.20, 735,919,960,578.30 and 490,613,307,052.20

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Solution

The fourth proportional to 490,613,307,052.20, 735,919,960,578.30 and 490,613,307,052.20 is: 735,919,960,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,052.20 : 735,919,960,578.30 = 490,613,307,052.20 : x
  2. Step 2: Convert to fraction form
    490,613,307,052.20/735,919,960,578.30 = 490,613,307,052.20/x
  3. Step 3: Cross multiply
    490,613,307,052.20x = 735,919,960,578.30 × 490,613,307,052.20
  4. Step 4: Simplify right side
    490,613,307,052.20x = 361,052,125,585,044,458,700,800
  5. Step 5: Solve for x
    x = 361,052,125,585,044,458,700,800/490,613,307,052.20
  6. Step 6: Final answer
    x = 735,919,960,578.30

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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.