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Finding the Fourth Proportional to 982,680,822,066.20, 1,474,021,233,099.30 and 982,680,822,066.20

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Solution

The fourth proportional to 982,680,822,066.20, 1,474,021,233,099.30 and 982,680,822,066.20 is: 1,474,021,233,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,680,822,066.20 : 1,474,021,233,099.30 = 982,680,822,066.20 : x
  2. Step 2: Convert to fraction form
    982,680,822,066.20/1,474,021,233,099.30 = 982,680,822,066.20/x
  3. Step 3: Cross multiply
    982,680,822,066.20x = 1,474,021,233,099.30 × 982,680,822,066.20
  4. Step 4: Simplify right side
    982,680,822,066.20x = 1,448,492,397,085,053,958,488,064
  5. Step 5: Solve for x
    x = 1,448,492,397,085,053,958,488,064/982,680,822,066.20
  6. Step 6: Final answer
    x = 1,474,021,233,099.30

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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.