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Finding the Fourth Proportional to 668,818,512,665.75, 1,003,227,768,998.60 and 668,818,512,665.75

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Solution

The fourth proportional to 668,818,512,665.75, 1,003,227,768,998.60 and 668,818,512,665.75 is: 1,003,227,768,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,512,665.75 : 1,003,227,768,998.60 = 668,818,512,665.75 : x
  2. Step 2: Convert to fraction form
    668,818,512,665.75/1,003,227,768,998.60 = 668,818,512,665.75/x
  3. Step 3: Cross multiply
    668,818,512,665.75x = 1,003,227,768,998.60 × 668,818,512,665.75
  4. Step 4: Simplify right side
    668,818,512,665.75x = 670,977,304,326,622,211,473,408
  5. Step 5: Solve for x
    x = 670,977,304,326,622,211,473,408/668,818,512,665.75
  6. Step 6: Final answer
    x = 1,003,227,768,998.60

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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.