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Finding the Fourth Proportional to 982,708,164,001.20, 1,471,858,253,886.60 and 982,708,164,001.20

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Solution

The fourth proportional to 982,708,164,001.20, 1,471,858,253,886.60 and 982,708,164,001.20 is: 1,471,858,253,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,708,164,001.20 : 1,471,858,253,886.60 = 982,708,164,001.20 : x
  2. Step 2: Convert to fraction form
    982,708,164,001.20/1,471,858,253,886.60 = 982,708,164,001.20/x
  3. Step 3: Cross multiply
    982,708,164,001.20x = 1,471,858,253,886.60 × 982,708,164,001.20
  4. Step 4: Simplify right side
    982,708,164,001.20x = 1,446,407,122,346,912,790,872,064
  5. Step 5: Solve for x
    x = 1,446,407,122,346,912,790,872,064/982,708,164,001.20
  6. Step 6: Final answer
    x = 1,471,858,253,886.60

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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.