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Finding the Fourth Proportional to 490,613,307,073.07, 735,919,960,609.60 and 490,613,307,073.07

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Solution

The fourth proportional to 490,613,307,073.07, 735,919,960,609.60 and 490,613,307,073.07 is: 735,919,960,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,073.07 : 735,919,960,609.60 = 490,613,307,073.07 : x
  2. Step 2: Convert to fraction form
    490,613,307,073.07/735,919,960,609.60 = 490,613,307,073.07/x
  3. Step 3: Cross multiply
    490,613,307,073.07x = 735,919,960,609.60 × 490,613,307,073.07
  4. Step 4: Simplify right side
    490,613,307,073.07x = 361,052,125,615,759,246,229,504
  5. Step 5: Solve for x
    x = 361,052,125,615,759,246,229,504/490,613,307,073.07
  6. Step 6: Final answer
    x = 735,919,960,609.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.