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Finding the Fourth Proportional to 196,857,768.30, 295,286,652.45 and 196,857,768.30

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Solution

The fourth proportional to 196,857,768.30, 295,286,652.45 and 196,857,768.30 is: 295,286,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857,768.30 : 295,286,652.45 = 196,857,768.30 : x
  2. Step 2: Convert to fraction form
    196,857,768.30/295,286,652.45 = 196,857,768.30/x
  3. Step 3: Cross multiply
    196,857,768.30x = 295,286,652.45 × 196,857,768.30
  4. Step 4: Simplify right side
    196,857,768.30x = 58,129,471,410,084,728
  5. Step 5: Solve for x
    x = 58,129,471,410,084,728/196,857,768.30
  6. Step 6: Final answer
    x = 295,286,652.45

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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.