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Finding the Fourth Proportional to 6,775,571,035,160.20, 10,163,356,552,740 and 6,775,571,035,160.20

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Solution

The fourth proportional to 6,775,571,035,160.20, 10,163,356,552,740 and 6,775,571,035,160.20 is: 10,163,356,552,740

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775,571,035,160.20 : 10,163,356,552,740 = 6,775,571,035,160.20 : x
  2. Step 2: Convert to fraction form
    6,775,571,035,160.20/10,163,356,552,740 = 6,775,571,035,160.20/x
  3. Step 3: Cross multiply
    6,775,571,035,160.20x = 10,163,356,552,740 × 6,775,571,035,160.20
  4. Step 4: Simplify right side
    6,775,571,035,160.20x = 68,862,544,278,750,764,464,078,848
  5. Step 5: Solve for x
    x = 68,862,544,278,750,764,464,078,848/6,775,571,035,160.20
  6. Step 6: Final answer
    x = 10,163,356,552,740

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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.