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Finding the Fourth Proportional to 235,763,135,999.60, 353,644,703,999.40 and 235,763,135,999.60

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Solution

The fourth proportional to 235,763,135,999.60, 353,644,703,999.40 and 235,763,135,999.60 is: 353,644,703,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,763,135,999.60 : 353,644,703,999.40 = 235,763,135,999.60 : x
  2. Step 2: Convert to fraction form
    235,763,135,999.60/353,644,703,999.40 = 235,763,135,999.60/x
  3. Step 3: Cross multiply
    235,763,135,999.60x = 353,644,703,999.40 × 235,763,135,999.60
  4. Step 4: Simplify right side
    235,763,135,999.60x = 83,376,384,444,548,836,753,408
  5. Step 5: Solve for x
    x = 83,376,384,444,548,836,753,408/235,763,135,999.60
  6. Step 6: Final answer
    x = 353,644,703,999.40

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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.