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Finding the Fourth Proportional to 322,977,908.80, 483,889,495.20 and 196,551,812.80

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Solution

The fourth proportional to 322,977,908.80, 483,889,495.20 and 196,551,812.80 is: 294,476,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,977,908.80 : 483,889,495.20 = 196,551,812.80 : x
  2. Step 2: Convert to fraction form
    322,977,908.80/483,889,495.20 = 196,551,812.80/x
  3. Step 3: Cross multiply
    322,977,908.80x = 483,889,495.20 × 196,551,812.80
  4. Step 4: Simplify right side
    322,977,908.80x = 95,109,357,476,436,896
  5. Step 5: Solve for x
    x = 95,109,357,476,436,896/322,977,908.80
  6. Step 6: Final answer
    x = 294,476,355.46

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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.