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Finding the Fourth Proportional to 733,083,443.85, 1,099,625,165.78 and 733,083,443.85

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Solution

The fourth proportional to 733,083,443.85, 1,099,625,165.78 and 733,083,443.85 is: 1,099,625,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,083,443.85 : 1,099,625,165.78 = 733,083,443.85 : x
  2. Step 2: Convert to fraction form
    733,083,443.85/1,099,625,165.78 = 733,083,443.85/x
  3. Step 3: Cross multiply
    733,083,443.85x = 1,099,625,165.78 × 733,083,443.85
  4. Step 4: Simplify right side
    733,083,443.85x = 806,117,003,470,464,256
  5. Step 5: Solve for x
    x = 806,117,003,470,464,256/733,083,443.85
  6. Step 6: Final answer
    x = 1,099,625,165.78

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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.