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Finding the Fourth Proportional to 274,493,022.66, 411,752,776.14 and 90,256,419.90

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Solution

The fourth proportional to 274,493,022.66, 411,752,776.14 and 90,256,419.90 is: 135,388,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,493,022.66 : 411,752,776.14 = 90,256,419.90 : x
  2. Step 2: Convert to fraction form
    274,493,022.66/411,752,776.14 = 90,256,419.90/x
  3. Step 3: Cross multiply
    274,493,022.66x = 411,752,776.14 × 90,256,419.90
  4. Step 4: Simplify right side
    274,493,022.66x = 37,163,331,458,282,544
  5. Step 5: Solve for x
    x = 37,163,331,458,282,544/274,493,022.66
  6. Step 6: Final answer
    x = 135,388,984.02

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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.