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Finding the Fourth Proportional to 215,410,754,920.05, 323,116,132,380.07 and 215,410,754,920.05

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Solution

The fourth proportional to 215,410,754,920.05, 323,116,132,380.07 and 215,410,754,920.05 is: 323,116,132,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410,754,920.05 : 323,116,132,380.07 = 215,410,754,920.05 : x
  2. Step 2: Convert to fraction form
    215,410,754,920.05/323,116,132,380.07 = 215,410,754,920.05/x
  3. Step 3: Cross multiply
    215,410,754,920.05x = 323,116,132,380.07 × 215,410,754,920.05
  4. Step 4: Simplify right side
    215,410,754,920.05x = 69,602,690,002,837,684,879,360
  5. Step 5: Solve for x
    x = 69,602,690,002,837,684,879,360/215,410,754,920.05
  6. Step 6: Final answer
    x = 323,116,132,380.07

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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.