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Finding the Fourth Proportional to 132,858,009.60, 199,287,014.40 and 132,858,009.60

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Solution

The fourth proportional to 132,858,009.60, 199,287,014.40 and 132,858,009.60 is: 199,287,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,858,009.60 : 199,287,014.40 = 132,858,009.60 : x
  2. Step 2: Convert to fraction form
    132,858,009.60/199,287,014.40 = 132,858,009.60/x
  3. Step 3: Cross multiply
    132,858,009.60x = 199,287,014.40 × 132,858,009.60
  4. Step 4: Simplify right side
    132,858,009.60x = 26,476,876,072,310,536
  5. Step 5: Solve for x
    x = 26,476,876,072,310,536/132,858,009.60
  6. Step 6: Final answer
    x = 199,287,014.40

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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.