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Finding the Fourth Proportional to 215,410,754,902.80, 323,116,132,354.20 and 215,410,754,902.80

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Solution

The fourth proportional to 215,410,754,902.80, 323,116,132,354.20 and 215,410,754,902.80 is: 323,116,132,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410,754,902.80 : 323,116,132,354.20 = 215,410,754,902.80 : x
  2. Step 2: Convert to fraction form
    215,410,754,902.80/323,116,132,354.20 = 215,410,754,902.80/x
  3. Step 3: Cross multiply
    215,410,754,902.80x = 323,116,132,354.20 × 215,410,754,902.80
  4. Step 4: Simplify right side
    215,410,754,902.80x = 69,602,689,991,691,263,279,104
  5. Step 5: Solve for x
    x = 69,602,689,991,691,263,279,104/215,410,754,902.80
  6. Step 6: Final answer
    x = 323,116,132,354.20

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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.