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Finding the Fourth Proportional to 655,120,588,503.82, 982,680,882,755.70 and 655,120,588,503.82

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Solution

The fourth proportional to 655,120,588,503.82, 982,680,882,755.70 and 655,120,588,503.82 is: 982,680,882,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,588,503.82 : 982,680,882,755.70 = 655,120,588,503.82 : x
  2. Step 2: Convert to fraction form
    655,120,588,503.82/982,680,882,755.70 = 655,120,588,503.82/x
  3. Step 3: Cross multiply
    655,120,588,503.82x = 982,680,882,755.70 × 655,120,588,503.82
  4. Step 4: Simplify right side
    655,120,588,503.82x = 643,774,478,222,367,387,549,696
  5. Step 5: Solve for x
    x = 643,774,478,222,367,387,549,696/655,120,588,503.82
  6. Step 6: Final answer
    x = 982,680,882,755.70

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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.