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Finding the Fourth Proportional to 193,073,544,793.65, 289,610,317,190.47 and 193,073,544,793.65

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Solution

The fourth proportional to 193,073,544,793.65, 289,610,317,190.47 and 193,073,544,793.65 is: 289,610,317,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,073,544,793.65 : 289,610,317,190.47 = 193,073,544,793.65 : x
  2. Step 2: Convert to fraction form
    193,073,544,793.65/289,610,317,190.47 = 193,073,544,793.65/x
  3. Step 3: Cross multiply
    193,073,544,793.65x = 289,610,317,190.47 × 193,073,544,793.65
  4. Step 4: Simplify right side
    193,073,544,793.65x = 55,916,090,548,777,383,886,848
  5. Step 5: Solve for x
    x = 55,916,090,548,777,383,886,848/193,073,544,793.65
  6. Step 6: Final answer
    x = 289,610,317,190.47

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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.