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Finding the Fourth Proportional to 11,844,314.40, 17,766,471.60 and 11,844,314.40

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Solution

The fourth proportional to 11,844,314.40, 17,766,471.60 and 11,844,314.40 is: 17,766,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844,314.40 : 17,766,471.60 = 11,844,314.40 : x
  2. Step 2: Convert to fraction form
    11,844,314.40/17,766,471.60 = 11,844,314.40/x
  3. Step 3: Cross multiply
    11,844,314.40x = 17,766,471.60 × 11,844,314.40
  4. Step 4: Simplify right side
    11,844,314.40x = 210,431,675,409,071.06
  5. Step 5: Solve for x
    x = 210,431,675,409,071.06/11,844,314.40
  6. Step 6: Final answer
    x = 17,766,471.60

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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.