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Finding the Fourth Proportional to 82,507,383,004.78, 123,761,074,507.16 and 82,507,383,004.78

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Solution

The fourth proportional to 82,507,383,004.78, 123,761,074,507.16 and 82,507,383,004.78 is: 123,761,074,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507,383,004.78 : 123,761,074,507.16 = 82,507,383,004.78 : x
  2. Step 2: Convert to fraction form
    82,507,383,004.78/123,761,074,507.16 = 82,507,383,004.78/x
  3. Step 3: Cross multiply
    82,507,383,004.78x = 123,761,074,507.16 × 82,507,383,004.78
  4. Step 4: Simplify right side
    82,507,383,004.78x = 10,211,202,375,444,745,682,944
  5. Step 5: Solve for x
    x = 10,211,202,375,444,745,682,944/82,507,383,004.78
  6. Step 6: Final answer
    x = 123,761,074,507.16

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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.