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Finding the Fourth Proportional to 322,978,313.80, 483,890,102.70 and 196,552,217.80

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Solution

The fourth proportional to 322,978,313.80, 483,890,102.70 and 196,552,217.80 is: 294,476,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978,313.80 : 483,890,102.70 = 196,552,217.80 : x
  2. Step 2: Convert to fraction form
    322,978,313.80/483,890,102.70 = 196,552,217.80/x
  3. Step 3: Cross multiply
    322,978,313.80x = 483,890,102.70 × 196,552,217.80
  4. Step 4: Simplify right side
    322,978,313.80x = 95,109,672,857,154,768
  5. Step 5: Solve for x
    x = 95,109,672,857,154,768/322,978,313.80
  6. Step 6: Final answer
    x = 294,476,962.67

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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.