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Finding the Fourth Proportional to 8,609,661,010.65, 12,894,084,181.58 and 8,609,661,010.65

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Solution

The fourth proportional to 8,609,661,010.65, 12,894,084,181.58 and 8,609,661,010.65 is: 12,894,084,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609,661,010.65 : 12,894,084,181.58 = 8,609,661,010.65 : x
  2. Step 2: Convert to fraction form
    8,609,661,010.65/12,894,084,181.58 = 8,609,661,010.65/x
  3. Step 3: Cross multiply
    8,609,661,010.65x = 12,894,084,181.58 × 8,609,661,010.65
  4. Step 4: Simplify right side
    8,609,661,010.65x = 111,013,693,846,145,187,840
  5. Step 5: Solve for x
    x = 111,013,693,846,145,187,840/8,609,661,010.65
  6. Step 6: Final answer
    x = 12,894,084,181.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.