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Finding the Fourth Proportional to 188,981,586,101.70, 283,472,379,152.55 and 188,981,586,101.70

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Solution

The fourth proportional to 188,981,586,101.70, 283,472,379,152.55 and 188,981,586,101.70 is: 283,472,379,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,981,586,101.70 : 283,472,379,152.55 = 188,981,586,101.70 : x
  2. Step 2: Convert to fraction form
    188,981,586,101.70/283,472,379,152.55 = 188,981,586,101.70/x
  3. Step 3: Cross multiply
    188,981,586,101.70x = 283,472,379,152.55 × 188,981,586,101.70
  4. Step 4: Simplify right side
    188,981,586,101.70x = 53,571,059,828,271,374,925,824
  5. Step 5: Solve for x
    x = 53,571,059,828,271,374,925,824/188,981,586,101.70
  6. Step 6: Final answer
    x = 283,472,379,152.55

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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.