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Finding the Fourth Proportional to 668,818,512,654.75, 1,003,227,768,982.10 and 668,818,512,654.75

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Solution

The fourth proportional to 668,818,512,654.75, 1,003,227,768,982.10 and 668,818,512,654.75 is: 1,003,227,768,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,512,654.75 : 1,003,227,768,982.10 = 668,818,512,654.75 : x
  2. Step 2: Convert to fraction form
    668,818,512,654.75/1,003,227,768,982.10 = 668,818,512,654.75/x
  3. Step 3: Cross multiply
    668,818,512,654.75x = 1,003,227,768,982.10 × 668,818,512,654.75
  4. Step 4: Simplify right side
    668,818,512,654.75x = 670,977,304,304,551,179,845,632
  5. Step 5: Solve for x
    x = 670,977,304,304,551,179,845,632/668,818,512,654.75
  6. Step 6: Final answer
    x = 1,003,227,768,982.10

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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.