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Finding the Fourth Proportional to 27,609,512,072.70, 41,414,268,109.05 and 27,609,512,072.70

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Solution

The fourth proportional to 27,609,512,072.70, 41,414,268,109.05 and 27,609,512,072.70 is: 41,414,268,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609,512,072.70 : 41,414,268,109.05 = 27,609,512,072.70 : x
  2. Step 2: Convert to fraction form
    27,609,512,072.70/41,414,268,109.05 = 27,609,512,072.70/x
  3. Step 3: Cross multiply
    27,609,512,072.70x = 41,414,268,109.05 × 27,609,512,072.70
  4. Step 4: Simplify right side
    27,609,512,072.70x = 1,143,427,735,338,850,713,600
  5. Step 5: Solve for x
    x = 1,143,427,735,338,850,713,600/27,609,512,072.70
  6. Step 6: Final answer
    x = 41,414,268,109.05

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Double scale
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1.5x scale

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.