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Finding the Fourth Proportional to 26,972,256,407.30, 40,458,384,610.95 and 26,972,256,407.30

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Solution

The fourth proportional to 26,972,256,407.30, 40,458,384,610.95 and 26,972,256,407.30 is: 40,458,384,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972,256,407.30 : 40,458,384,610.95 = 26,972,256,407.30 : x
  2. Step 2: Convert to fraction form
    26,972,256,407.30/40,458,384,610.95 = 26,972,256,407.30/x
  3. Step 3: Cross multiply
    26,972,256,407.30x = 40,458,384,610.95 × 26,972,256,407.30
  4. Step 4: Simplify right side
    26,972,256,407.30x = 1,091,253,923,551,703,728,128
  5. Step 5: Solve for x
    x = 1,091,253,923,551,703,728,128/26,972,256,407.30
  6. Step 6: Final answer
    x = 40,458,384,610.95

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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.