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Finding the Fourth Proportional to 196,992,205.80, 295,488,308.70 and 53,385,037.80

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Solution

The fourth proportional to 196,992,205.80, 295,488,308.70 and 53,385,037.80 is: 80,077,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992,205.80 : 295,488,308.70 = 53,385,037.80 : x
  2. Step 2: Convert to fraction form
    196,992,205.80/295,488,308.70 = 53,385,037.80/x
  3. Step 3: Cross multiply
    196,992,205.80x = 295,488,308.70 × 53,385,037.80
  4. Step 4: Simplify right side
    196,992,205.80x = 15,774,654,529,407,568
  5. Step 5: Solve for x
    x = 15,774,654,529,407,568/196,992,205.80
  6. Step 6: Final answer
    x = 80,077,556.70

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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.