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Finding the Fourth Proportional to 206,856,590,405.70, 310,284,885,608.55 and 206,856,590,405.70

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Solution

The fourth proportional to 206,856,590,405.70, 310,284,885,608.55 and 206,856,590,405.70 is: 310,284,885,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856,590,405.70 : 310,284,885,608.55 = 206,856,590,405.70 : x
  2. Step 2: Convert to fraction form
    206,856,590,405.70/310,284,885,608.55 = 206,856,590,405.70/x
  3. Step 3: Cross multiply
    206,856,590,405.70x = 310,284,885,608.55 × 206,856,590,405.70
  4. Step 4: Simplify right side
    206,856,590,405.70x = 64,184,473,491,407,305,179,136
  5. Step 5: Solve for x
    x = 64,184,473,491,407,305,179,136/206,856,590,405.70
  6. Step 6: Final answer
    x = 310,284,885,608.55

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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.