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Finding the Fourth Proportional to 10,667,768.70, 15,978,033.45 and 8,778,200.70

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Solution

The fourth proportional to 10,667,768.70, 15,978,033.45 and 8,778,200.70 is: 13,147,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667,768.70 : 15,978,033.45 = 8,778,200.70 : x
  2. Step 2: Convert to fraction form
    10,667,768.70/15,978,033.45 = 8,778,200.70/x
  3. Step 3: Cross multiply
    10,667,768.70x = 15,978,033.45 × 8,778,200.70
  4. Step 4: Simplify right side
    10,667,768.70x = 140,258,384,415,413.39
  5. Step 5: Solve for x
    x = 140,258,384,415,413.39/10,667,768.70
  6. Step 6: Final answer
    x = 13,147,865.16

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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.