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Finding the Fourth Proportional to 2,612,234,106.15, 3,667,458,961.65 and 2,612,234,106.15

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Solution

The fourth proportional to 2,612,234,106.15, 3,667,458,961.65 and 2,612,234,106.15 is: 3,667,458,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612,234,106.15 : 3,667,458,961.65 = 2,612,234,106.15 : x
  2. Step 2: Convert to fraction form
    2,612,234,106.15/3,667,458,961.65 = 2,612,234,106.15/x
  3. Step 3: Cross multiply
    2,612,234,106.15x = 3,667,458,961.65 × 2,612,234,106.15
  4. Step 4: Simplify right side
    2,612,234,106.15x = 9,580,261,382,527,594,496
  5. Step 5: Solve for x
    x = 9,580,261,382,527,594,496/2,612,234,106.15
  6. Step 6: Final answer
    x = 3,667,458,961.65

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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.