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Finding the Fourth Proportional to 111,197,647,573.20, 166,796,471,359.80 and 111,197,647,573.20

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Solution

The fourth proportional to 111,197,647,573.20, 166,796,471,359.80 and 111,197,647,573.20 is: 166,796,471,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,197,647,573.20 : 166,796,471,359.80 = 111,197,647,573.20 : x
  2. Step 2: Convert to fraction form
    111,197,647,573.20/166,796,471,359.80 = 111,197,647,573.20/x
  3. Step 3: Cross multiply
    111,197,647,573.20x = 166,796,471,359.80 × 111,197,647,573.20
  4. Step 4: Simplify right side
    111,197,647,573.20x = 18,547,375,238,720,385,974,272
  5. Step 5: Solve for x
    x = 18,547,375,238,720,385,974,272/111,197,647,573.20
  6. Step 6: Final answer
    x = 166,796,471,359.80

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1.5x scale

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.