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Finding the Fourth Proportional to 211,770,851.80, 317,656,277.70 and 211,770,851.80

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Solution

The fourth proportional to 211,770,851.80, 317,656,277.70 and 211,770,851.80 is: 317,656,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,770,851.80 : 317,656,277.70 = 211,770,851.80 : x
  2. Step 2: Convert to fraction form
    211,770,851.80/317,656,277.70 = 211,770,851.80/x
  3. Step 3: Cross multiply
    211,770,851.80x = 317,656,277.70 × 211,770,851.80
  4. Step 4: Simplify right side
    211,770,851.80x = 67,270,340,508,146,344
  5. Step 5: Solve for x
    x = 67,270,340,508,146,344/211,770,851.80
  6. Step 6: Final answer
    x = 317,656,277.70

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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.