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Finding the Fourth Proportional to 266,965,512.45, 400,448,268.68 and 266,965,512.45

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Solution

The fourth proportional to 266,965,512.45, 400,448,268.68 and 266,965,512.45 is: 400,448,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,965,512.45 : 400,448,268.68 = 266,965,512.45 : x
  2. Step 2: Convert to fraction form
    266,965,512.45/400,448,268.68 = 266,965,512.45/x
  3. Step 3: Cross multiply
    266,965,512.45x = 400,448,268.68 × 266,965,512.45
  4. Step 4: Simplify right side
    266,965,512.45x = 106,905,877,256,536,656
  5. Step 5: Solve for x
    x = 106,905,877,256,536,656/266,965,512.45
  6. Step 6: Final answer
    x = 400,448,268.68

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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.