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Finding the Fourth Proportional to 655,120,500,805.80, 982,680,751,208.70 and 655,120,500,805.80

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Solution

The fourth proportional to 655,120,500,805.80, 982,680,751,208.70 and 655,120,500,805.80 is: 982,680,751,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,500,805.80 : 982,680,751,208.70 = 655,120,500,805.80 : x
  2. Step 2: Convert to fraction form
    655,120,500,805.80/982,680,751,208.70 = 655,120,500,805.80/x
  3. Step 3: Cross multiply
    655,120,500,805.80x = 982,680,751,208.70 × 655,120,500,805.80
  4. Step 4: Simplify right side
    655,120,500,805.80x = 643,774,305,864,063,320,588,288
  5. Step 5: Solve for x
    x = 643,774,305,864,063,320,588,288/655,120,500,805.80
  6. Step 6: Final answer
    x = 982,680,751,208.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.