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Finding the Fourth Proportional to 196,236,090,276.60, 294,354,135,414.90 and 196,236,090,276.60

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Solution

The fourth proportional to 196,236,090,276.60, 294,354,135,414.90 and 196,236,090,276.60 is: 294,354,135,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,236,090,276.60 : 294,354,135,414.90 = 196,236,090,276.60 : x
  2. Step 2: Convert to fraction form
    196,236,090,276.60/294,354,135,414.90 = 196,236,090,276.60/x
  3. Step 3: Cross multiply
    196,236,090,276.60x = 294,354,135,414.90 × 196,236,090,276.60
  4. Step 4: Simplify right side
    196,236,090,276.60x = 57,762,904,690,568,862,892,032
  5. Step 5: Solve for x
    x = 57,762,904,690,568,862,892,032/196,236,090,276.60
  6. Step 6: Final answer
    x = 294,354,135,414.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.