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Finding the Fourth Proportional to 1,282,608,005.80, 1,923,912,008.70 and 1,282,608,005.80

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Solution

The fourth proportional to 1,282,608,005.80, 1,923,912,008.70 and 1,282,608,005.80 is: 1,923,912,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,608,005.80 : 1,923,912,008.70 = 1,282,608,005.80 : x
  2. Step 2: Convert to fraction form
    1,282,608,005.80/1,923,912,008.70 = 1,282,608,005.80/x
  3. Step 3: Cross multiply
    1,282,608,005.80x = 1,923,912,008.70 × 1,282,608,005.80
  4. Step 4: Simplify right side
    1,282,608,005.80x = 2,467,624,944,813,379,072
  5. Step 5: Solve for x
    x = 2,467,624,944,813,379,072/1,282,608,005.80
  6. Step 6: Final answer
    x = 1,923,912,008.70

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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.