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Finding the Fourth Proportional to 401,795,910.80, 602,694,303.60 and 159,458,814.80

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Solution

The fourth proportional to 401,795,910.80, 602,694,303.60 and 159,458,814.80 is: 239,188,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,795,910.80 : 602,694,303.60 = 159,458,814.80 : x
  2. Step 2: Convert to fraction form
    401,795,910.80/602,694,303.60 = 159,458,814.80/x
  3. Step 3: Cross multiply
    401,795,910.80x = 602,694,303.60 × 159,458,814.80
  4. Step 4: Simplify right side
    401,795,910.80x = 96,104,919,338,767,392
  5. Step 5: Solve for x
    x = 96,104,919,338,767,392/401,795,910.80
  6. Step 6: Final answer
    x = 239,188,395.79

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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.