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Finding the Fourth Proportional to 206,590,892,912.55, 309,886,339,368.82 and 206,590,892,912.55

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Solution

The fourth proportional to 206,590,892,912.55, 309,886,339,368.82 and 206,590,892,912.55 is: 309,886,339,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590,892,912.55 : 309,886,339,368.82 = 206,590,892,912.55 : x
  2. Step 2: Convert to fraction form
    206,590,892,912.55/309,886,339,368.82 = 206,590,892,912.55/x
  3. Step 3: Cross multiply
    206,590,892,912.55x = 309,886,339,368.82 × 206,590,892,912.55
  4. Step 4: Simplify right side
    206,590,892,912.55x = 64,019,695,551,606,016,704,512
  5. Step 5: Solve for x
    x = 64,019,695,551,606,016,704,512/206,590,892,912.55
  6. Step 6: Final answer
    x = 309,886,339,368.82

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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.