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Finding the Fourth Proportional to 11,008,505.05, 16,481,264.78 and 11,008,505.05

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Solution

The fourth proportional to 11,008,505.05, 16,481,264.78 and 11,008,505.05 is: 16,481,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008,505.05 : 16,481,264.78 = 11,008,505.05 : x
  2. Step 2: Convert to fraction form
    11,008,505.05/16,481,264.78 = 11,008,505.05/x
  3. Step 3: Cross multiply
    11,008,505.05x = 16,481,264.78 × 11,008,505.05
  4. Step 4: Simplify right side
    11,008,505.05x = 181,434,086,505,974.62
  5. Step 5: Solve for x
    x = 181,434,086,505,974.62/11,008,505.05
  6. Step 6: Final answer
    x = 16,481,264.78

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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.