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Finding the Fourth Proportional to 655,120,500,842.18, 982,680,751,263.28 and 655,120,500,842.18

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Solution

The fourth proportional to 655,120,500,842.18, 982,680,751,263.28 and 655,120,500,842.18 is: 982,680,751,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,500,842.18 : 982,680,751,263.28 = 655,120,500,842.18 : x
  2. Step 2: Convert to fraction form
    655,120,500,842.18/982,680,751,263.28 = 655,120,500,842.18/x
  3. Step 3: Cross multiply
    655,120,500,842.18x = 982,680,751,263.28 × 655,120,500,842.18
  4. Step 4: Simplify right side
    655,120,500,842.18x = 643,774,305,935,569,828,446,208
  5. Step 5: Solve for x
    x = 643,774,305,935,569,828,446,208/655,120,500,842.18
  6. Step 6: Final answer
    x = 982,680,751,263.28

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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.