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Finding the Fourth Proportional to 11,738,846.40, 16,464,244.80 and 11,738,846.40

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Solution

The fourth proportional to 11,738,846.40, 16,464,244.80 and 11,738,846.40 is: 16,464,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738,846.40 : 16,464,244.80 = 11,738,846.40 : x
  2. Step 2: Convert to fraction form
    11,738,846.40/16,464,244.80 = 11,738,846.40/x
  3. Step 3: Cross multiply
    11,738,846.40x = 16,464,244.80 × 11,738,846.40
  4. Step 4: Simplify right side
    11,738,846.40x = 193,271,240,799,198.75
  5. Step 5: Solve for x
    x = 193,271,240,799,198.75/11,738,846.40
  6. Step 6: Final answer
    x = 16,464,244.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.