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Finding the Fourth Proportional to 668,819,073,996.10, 1,003,228,610,994.10 and 668,819,073,996.10

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Solution

The fourth proportional to 668,819,073,996.10, 1,003,228,610,994.10 and 668,819,073,996.10 is: 1,003,228,610,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,819,073,996.10 : 1,003,228,610,994.10 = 668,819,073,996.10 : x
  2. Step 2: Convert to fraction form
    668,819,073,996.10/1,003,228,610,994.10 = 668,819,073,996.10/x
  3. Step 3: Cross multiply
    668,819,073,996.10x = 1,003,228,610,994.10 × 668,819,073,996.10
  4. Step 4: Simplify right side
    668,819,073,996.10x = 670,978,430,611,467,511,267,328
  5. Step 5: Solve for x
    x = 670,978,430,611,467,511,267,328/668,819,073,996.10
  6. Step 6: Final answer
    x = 1,003,228,610,994.10

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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.