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Finding the Fourth Proportional to 2,068,431,336.45, 3,102,647,004.68 and 2,068,431,336.45

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Solution

The fourth proportional to 2,068,431,336.45, 3,102,647,004.68 and 2,068,431,336.45 is: 3,102,647,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,431,336.45 : 3,102,647,004.68 = 2,068,431,336.45 : x
  2. Step 2: Convert to fraction form
    2,068,431,336.45/3,102,647,004.68 = 2,068,431,336.45/x
  3. Step 3: Cross multiply
    2,068,431,336.45x = 3,102,647,004.68 × 2,068,431,336.45
  4. Step 4: Simplify right side
    2,068,431,336.45x = 6,417,612,290,412,499,968
  5. Step 5: Solve for x
    x = 6,417,612,290,412,499,968/2,068,431,336.45
  6. Step 6: Final answer
    x = 3,102,647,004.68

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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.