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Finding the Fourth Proportional to 490,613,307,082.82, 735,919,960,624.23 and 490,613,307,082.82

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Solution

The fourth proportional to 490,613,307,082.82, 735,919,960,624.23 and 490,613,307,082.82 is: 735,919,960,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,082.82 : 735,919,960,624.23 = 490,613,307,082.82 : x
  2. Step 2: Convert to fraction form
    490,613,307,082.82/735,919,960,624.23 = 490,613,307,082.82/x
  3. Step 3: Cross multiply
    490,613,307,082.82x = 735,919,960,624.23 × 490,613,307,082.82
  4. Step 4: Simplify right side
    490,613,307,082.82x = 361,052,125,630,112,154,517,504
  5. Step 5: Solve for x
    x = 361,052,125,630,112,154,517,504/490,613,307,082.82
  6. Step 6: Final answer
    x = 735,919,960,624.23

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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.