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Finding the Fourth Proportional to 274,489,724,006.55, 411,734,586,009.82 and 274,489,724,006.55

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Solution

The fourth proportional to 274,489,724,006.55, 411,734,586,009.82 and 274,489,724,006.55 is: 411,734,586,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,724,006.55 : 411,734,586,009.82 = 274,489,724,006.55 : x
  2. Step 2: Convert to fraction form
    274,489,724,006.55/411,734,586,009.82 = 274,489,724,006.55/x
  3. Step 3: Cross multiply
    274,489,724,006.55x = 411,734,586,009.82 × 274,489,724,006.55
  4. Step 4: Simplify right side
    274,489,724,006.55x = 113,016,912,877,786,608,173,056
  5. Step 5: Solve for x
    x = 113,016,912,877,786,608,173,056/274,489,724,006.55
  6. Step 6: Final answer
    x = 411,734,586,009.82

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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.