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Finding the Fourth Proportional to 20,954,242,912.35, 31,431,364,368.53 and 20,954,242,912.35

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Solution

The fourth proportional to 20,954,242,912.35, 31,431,364,368.53 and 20,954,242,912.35 is: 31,431,364,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954,242,912.35 : 31,431,364,368.53 = 20,954,242,912.35 : x
  2. Step 2: Convert to fraction form
    20,954,242,912.35/31,431,364,368.53 = 20,954,242,912.35/x
  3. Step 3: Cross multiply
    20,954,242,912.35x = 31,431,364,368.53 × 20,954,242,912.35
  4. Step 4: Simplify right side
    20,954,242,912.35x = 658,620,444,044,655,329,280
  5. Step 5: Solve for x
    x = 658,620,444,044,655,329,280/20,954,242,912.35
  6. Step 6: Final answer
    x = 31,431,364,368.53

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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.