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Finding the Fourth Proportional to 12,100,046.20, 16,952,661.80 and 12,100,046.20

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Solution

The fourth proportional to 12,100,046.20, 16,952,661.80 and 12,100,046.20 is: 16,952,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100,046.20 : 16,952,661.80 = 12,100,046.20 : x
  2. Step 2: Convert to fraction form
    12,100,046.20/16,952,661.80 = 12,100,046.20/x
  3. Step 3: Cross multiply
    12,100,046.20x = 16,952,661.80 × 12,100,046.20
  4. Step 4: Simplify right side
    12,100,046.20x = 205,127,990,992,975.16
  5. Step 5: Solve for x
    x = 205,127,990,992,975.16/12,100,046.20
  6. Step 6: Final answer
    x = 16,952,661.80

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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.