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Finding the Fourth Proportional to 1,337,796,345.70, 2,006,694,518.55 and 1,337,796,345.70

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Solution

The fourth proportional to 1,337,796,345.70, 2,006,694,518.55 and 1,337,796,345.70 is: 2,006,694,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,796,345.70 : 2,006,694,518.55 = 1,337,796,345.70 : x
  2. Step 2: Convert to fraction form
    1,337,796,345.70/2,006,694,518.55 = 1,337,796,345.70/x
  3. Step 3: Cross multiply
    1,337,796,345.70x = 2,006,694,518.55 × 1,337,796,345.70
  4. Step 4: Simplify right side
    1,337,796,345.70x = 2,684,548,593,852,410,880
  5. Step 5: Solve for x
    x = 2,684,548,593,852,410,880/1,337,796,345.70
  6. Step 6: Final answer
    x = 2,006,694,518.55

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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.