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Finding the Fourth Proportional to 215,410,754,904.30, 323,116,132,356.45 and 215,410,754,904.30

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Solution

The fourth proportional to 215,410,754,904.30, 323,116,132,356.45 and 215,410,754,904.30 is: 323,116,132,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410,754,904.30 : 323,116,132,356.45 = 215,410,754,904.30 : x
  2. Step 2: Convert to fraction form
    215,410,754,904.30/323,116,132,356.45 = 215,410,754,904.30/x
  3. Step 3: Cross multiply
    215,410,754,904.30x = 323,116,132,356.45 × 215,410,754,904.30
  4. Step 4: Simplify right side
    215,410,754,904.30x = 69,602,689,992,660,608,876,544
  5. Step 5: Solve for x
    x = 69,602,689,992,660,608,876,544/215,410,754,904.30
  6. Step 6: Final answer
    x = 323,116,132,356.45

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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.