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Finding the Fourth Proportional to 11,967,339,906.10, 17,951,009,859.16 and 11,967,339,906.10

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Solution

The fourth proportional to 11,967,339,906.10, 17,951,009,859.16 and 11,967,339,906.10 is: 17,951,009,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967,339,906.10 : 17,951,009,859.16 = 11,967,339,906.10 : x
  2. Step 2: Convert to fraction form
    11,967,339,906.10/17,951,009,859.16 = 11,967,339,906.10/x
  3. Step 3: Cross multiply
    11,967,339,906.10x = 17,951,009,859.16 × 11,967,339,906.10
  4. Step 4: Simplify right side
    11,967,339,906.10x = 214,825,836,642,320,023,552
  5. Step 5: Solve for x
    x = 214,825,836,642,320,023,552/11,967,339,906.10
  6. Step 6: Final answer
    x = 17,951,009,859.16

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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.