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Finding the Fourth Proportional to 2,267,791,607,281.30, 3,401,687,410,922.40 and 2,267,791,607,281.30

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Solution

The fourth proportional to 2,267,791,607,281.30, 3,401,687,410,922.40 and 2,267,791,607,281.30 is: 3,401,687,410,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,791,607,281.30 : 3,401,687,410,922.40 = 2,267,791,607,281.30 : x
  2. Step 2: Convert to fraction form
    2,267,791,607,281.30/3,401,687,410,922.40 = 2,267,791,607,281.30/x
  3. Step 3: Cross multiply
    2,267,791,607,281.30x = 3,401,687,410,922.40 × 2,267,791,607,281.30
  4. Step 4: Simplify right side
    2,267,791,607,281.30x = 7,714,318,161,084,273,158,782,976
  5. Step 5: Solve for x
    x = 7,714,318,161,084,273,158,782,976/2,267,791,607,281.30
  6. Step 6: Final answer
    x = 3,401,687,410,922.40

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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.