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Finding the Fourth Proportional to 322,063,609.80, 483,095,414.70 and 149,483,065.80

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Solution

The fourth proportional to 322,063,609.80, 483,095,414.70 and 149,483,065.80 is: 224,224,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,063,609.80 : 483,095,414.70 = 149,483,065.80 : x
  2. Step 2: Convert to fraction form
    322,063,609.80/483,095,414.70 = 149,483,065.80/x
  3. Step 3: Cross multiply
    322,063,609.80x = 483,095,414.70 × 149,483,065.80
  4. Step 4: Simplify right side
    322,063,609.80x = 72,214,583,663,278,384
  5. Step 5: Solve for x
    x = 72,214,583,663,278,384/322,063,609.80
  6. Step 6: Final answer
    x = 224,224,598.70

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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.