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Finding the Fourth Proportional to 21,122,855,999.70, 31,684,283,999.55 and 21,122,855,999.70

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Solution

The fourth proportional to 21,122,855,999.70, 31,684,283,999.55 and 21,122,855,999.70 is: 31,684,283,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122,855,999.70 : 31,684,283,999.55 = 21,122,855,999.70 : x
  2. Step 2: Convert to fraction form
    21,122,855,999.70/31,684,283,999.55 = 21,122,855,999.70/x
  3. Step 3: Cross multiply
    21,122,855,999.70x = 31,684,283,999.55 × 21,122,855,999.70
  4. Step 4: Simplify right side
    21,122,855,999.70x = 669,262,568,376,093,376,512
  5. Step 5: Solve for x
    x = 669,262,568,376,093,376,512/21,122,855,999.70
  6. Step 6: Final answer
    x = 31,684,283,999.55

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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.