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Finding the Fourth Proportional to 490,613,307,049.46, 735,919,960,574.18 and 490,613,307,049.46

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Solution

The fourth proportional to 490,613,307,049.46, 735,919,960,574.18 and 490,613,307,049.46 is: 735,919,960,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,049.46 : 735,919,960,574.18 = 490,613,307,049.46 : x
  2. Step 2: Convert to fraction form
    490,613,307,049.46/735,919,960,574.18 = 490,613,307,049.46/x
  3. Step 3: Cross multiply
    490,613,307,049.46x = 735,919,960,574.18 × 490,613,307,049.46
  4. Step 4: Simplify right side
    490,613,307,049.46x = 361,052,125,581,006,719,680,512
  5. Step 5: Solve for x
    x = 361,052,125,581,006,719,680,512/490,613,307,049.46
  6. Step 6: Final answer
    x = 735,919,960,574.18

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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.