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Finding the Fourth Proportional to 267,996,203.60, 401,143,999.80 and 267,996,203.60

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Solution

The fourth proportional to 267,996,203.60, 401,143,999.80 and 267,996,203.60 is: 401,143,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,996,203.60 : 401,143,999.80 = 267,996,203.60 : x
  2. Step 2: Convert to fraction form
    267,996,203.60/401,143,999.80 = 267,996,203.60/x
  3. Step 3: Cross multiply
    267,996,203.60x = 401,143,999.80 × 267,996,203.60
  4. Step 4: Simplify right side
    267,996,203.60x = 107,505,069,043,319,168
  5. Step 5: Solve for x
    x = 107,505,069,043,319,168/267,996,203.60
  6. Step 6: Final answer
    x = 401,143,999.80

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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.