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Finding the Fourth Proportional to 266,904,284.40, 400,356,426.60 and 159,408,860.40

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Solution

The fourth proportional to 266,904,284.40, 400,356,426.60 and 159,408,860.40 is: 239,113,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,904,284.40 : 400,356,426.60 = 159,408,860.40 : x
  2. Step 2: Convert to fraction form
    266,904,284.40/400,356,426.60 = 159,408,860.40/x
  3. Step 3: Cross multiply
    266,904,284.40x = 400,356,426.60 × 159,408,860.40
  4. Step 4: Simplify right side
    266,904,284.40x = 63,820,361,718,122,256
  5. Step 5: Solve for x
    x = 63,820,361,718,122,256/266,904,284.40
  6. Step 6: Final answer
    x = 239,113,290.60

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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.