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Finding the Fourth Proportional to 490,613,306,546.45, 735,919,959,819.68 and 490,613,306,546.45

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Solution

The fourth proportional to 490,613,306,546.45, 735,919,959,819.68 and 490,613,306,546.45 is: 735,919,959,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,306,546.45 : 735,919,959,819.68 = 490,613,306,546.45 : x
  2. Step 2: Convert to fraction form
    490,613,306,546.45/735,919,959,819.68 = 490,613,306,546.45/x
  3. Step 3: Cross multiply
    490,613,306,546.45x = 735,919,959,819.68 × 490,613,306,546.45
  4. Step 4: Simplify right side
    490,613,306,546.45x = 361,052,124,840,663,879,516,160
  5. Step 5: Solve for x
    x = 361,052,124,840,663,879,516,160/490,613,306,546.45
  6. Step 6: Final answer
    x = 735,919,959,819.68

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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.