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Finding the Fourth Proportional to 655,120,500,827.19, 982,680,751,240.77 and 655,120,500,827.19

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Solution

The fourth proportional to 655,120,500,827.19, 982,680,751,240.77 and 655,120,500,827.19 is: 982,680,751,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,500,827.19 : 982,680,751,240.77 = 655,120,500,827.19 : x
  2. Step 2: Convert to fraction form
    655,120,500,827.19/982,680,751,240.77 = 655,120,500,827.19/x
  3. Step 3: Cross multiply
    655,120,500,827.19x = 982,680,751,240.77 × 655,120,500,827.19
  4. Step 4: Simplify right side
    655,120,500,827.19x = 643,774,305,906,092,528,369,664
  5. Step 5: Solve for x
    x = 643,774,305,906,092,528,369,664/655,120,500,827.19
  6. Step 6: Final answer
    x = 982,680,751,240.77

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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.