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Finding the Fourth Proportional to 2,414,448,906.45, 3,621,673,359.68 and 2,414,448,906.45

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Solution

The fourth proportional to 2,414,448,906.45, 3,621,673,359.68 and 2,414,448,906.45 is: 3,621,673,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,448,906.45 : 3,621,673,359.68 = 2,414,448,906.45 : x
  2. Step 2: Convert to fraction form
    2,414,448,906.45/3,621,673,359.68 = 2,414,448,906.45/x
  3. Step 3: Cross multiply
    2,414,448,906.45x = 3,621,673,359.68 × 2,414,448,906.45
  4. Step 4: Simplify right side
    2,414,448,906.45x = 8,744,345,282,786,401,280
  5. Step 5: Solve for x
    x = 8,744,345,282,786,401,280/2,414,448,906.45
  6. Step 6: Final answer
    x = 3,621,673,359.68

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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.