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Finding the Fourth Proportional to 2,346,850,325,098, 3,520,275,487,647 and 2,346,850,325,098

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Solution

The fourth proportional to 2,346,850,325,098, 3,520,275,487,647 and 2,346,850,325,098 is: 3,520,275,487,647

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346,850,325,098 : 3,520,275,487,647 = 2,346,850,325,098 : x
  2. Step 2: Convert to fraction form
    2,346,850,325,098/3,520,275,487,647 = 2,346,850,325,098/x
  3. Step 3: Cross multiply
    2,346,850,325,098x = 3,520,275,487,647 × 2,346,850,325,098
  4. Step 4: Simplify right side
    2,346,850,325,098x = 8,261,559,672,618,882,011,496,448
  5. Step 5: Solve for x
    x = 8,261,559,672,618,882,011,496,448/2,346,850,325,098
  6. Step 6: Final answer
    x = 3,520,275,487,647

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1.5x scale

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.