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Finding the Fourth Proportional to 490,613,307,077.57, 735,919,960,616.35 and 490,613,307,077.57

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Solution

The fourth proportional to 490,613,307,077.57, 735,919,960,616.35 and 490,613,307,077.57 is: 735,919,960,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,077.57 : 735,919,960,616.35 = 490,613,307,077.57 : x
  2. Step 2: Convert to fraction form
    490,613,307,077.57/735,919,960,616.35 = 490,613,307,077.57/x
  3. Step 3: Cross multiply
    490,613,307,077.57x = 735,919,960,616.35 × 490,613,307,077.57
  4. Step 4: Simplify right side
    490,613,307,077.57x = 361,052,125,622,382,555,561,984
  5. Step 5: Solve for x
    x = 361,052,125,622,382,555,561,984/490,613,307,077.57
  6. Step 6: Final answer
    x = 735,919,960,616.35

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Double scale
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1.5x scale

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.