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Finding the Fourth Proportional to 3,586,616,582,524.20, 5,379,924,873,786.40 and 3,586,616,582,524.20

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Solution

The fourth proportional to 3,586,616,582,524.20, 5,379,924,873,786.40 and 3,586,616,582,524.20 is: 5,379,924,873,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586,616,582,524.20 : 5,379,924,873,786.40 = 3,586,616,582,524.20 : x
  2. Step 2: Convert to fraction form
    3,586,616,582,524.20/5,379,924,873,786.40 = 3,586,616,582,524.20/x
  3. Step 3: Cross multiply
    3,586,616,582,524.20x = 5,379,924,873,786.40 × 3,586,616,582,524.20
  4. Step 4: Simplify right side
    3,586,616,582,524.20x = 19,295,727,765,056,718,272,200,704
  5. Step 5: Solve for x
    x = 19,295,727,765,056,718,272,200,704/3,586,616,582,524.20
  6. Step 6: Final answer
    x = 5,379,924,873,786.40

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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.