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Finding the Fourth Proportional to 322,977,909.80, 483,889,496.70 and 196,551,813.80

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Solution

The fourth proportional to 322,977,909.80, 483,889,496.70 and 196,551,813.80 is: 294,476,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,977,909.80 : 483,889,496.70 = 196,551,813.80 : x
  2. Step 2: Convert to fraction form
    322,977,909.80/483,889,496.70 = 196,551,813.80/x
  3. Step 3: Cross multiply
    322,977,909.80x = 483,889,496.70 × 196,551,813.80
  4. Step 4: Simplify right side
    322,977,909.80x = 95,109,358,255,154,112
  5. Step 5: Solve for x
    x = 95,109,358,255,154,112/322,977,909.80
  6. Step 6: Final answer
    x = 294,476,356.96

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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.