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Finding the Fourth Proportional to 7,335,598,511.78, 11,003,397,767.66 and 7,335,598,511.78

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Solution

The fourth proportional to 7,335,598,511.78, 11,003,397,767.66 and 7,335,598,511.78 is: 11,003,397,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335,598,511.78 : 11,003,397,767.66 = 7,335,598,511.78 : x
  2. Step 2: Convert to fraction form
    7,335,598,511.78/11,003,397,767.66 = 7,335,598,511.78/x
  3. Step 3: Cross multiply
    7,335,598,511.78x = 11,003,397,767.66 × 7,335,598,511.78
  4. Step 4: Simplify right side
    7,335,598,511.78x = 80,716,508,288,929,726,464
  5. Step 5: Solve for x
    x = 80,716,508,288,929,726,464/7,335,598,511.78
  6. Step 6: Final answer
    x = 11,003,397,767.66

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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.