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Finding the Fourth Proportional to 188,981,586,043.20, 283,472,379,064.80 and 188,981,586,043.20

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Solution

The fourth proportional to 188,981,586,043.20, 283,472,379,064.80 and 188,981,586,043.20 is: 283,472,379,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,981,586,043.20 : 283,472,379,064.80 = 188,981,586,043.20 : x
  2. Step 2: Convert to fraction form
    188,981,586,043.20/283,472,379,064.80 = 188,981,586,043.20/x
  3. Step 3: Cross multiply
    188,981,586,043.20x = 283,472,379,064.80 × 188,981,586,043.20
  4. Step 4: Simplify right side
    188,981,586,043.20x = 53,571,059,795,105,108,983,808
  5. Step 5: Solve for x
    x = 53,571,059,795,105,108,983,808/188,981,586,043.20
  6. Step 6: Final answer
    x = 283,472,379,064.80

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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.