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Finding the Fourth Proportional to 193,084,103.80, 289,626,155.70 and 193,084,103.80

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Solution

The fourth proportional to 193,084,103.80, 289,626,155.70 and 193,084,103.80 is: 289,626,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,084,103.80 : 289,626,155.70 = 193,084,103.80 : x
  2. Step 2: Convert to fraction form
    193,084,103.80/289,626,155.70 = 193,084,103.80/x
  3. Step 3: Cross multiply
    193,084,103.80x = 289,626,155.70 × 193,084,103.80
  4. Step 4: Simplify right side
    193,084,103.80x = 55,922,206,710,373,760
  5. Step 5: Solve for x
    x = 55,922,206,710,373,760/193,084,103.80
  6. Step 6: Final answer
    x = 289,626,155.70

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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.