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Finding the Fourth Proportional to 213,871,104,003.90, 320,806,656,005.84 and 213,871,104,003.90

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Solution

The fourth proportional to 213,871,104,003.90, 320,806,656,005.84 and 213,871,104,003.90 is: 320,806,656,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871,104,003.90 : 320,806,656,005.84 = 213,871,104,003.90 : x
  2. Step 2: Convert to fraction form
    213,871,104,003.90/320,806,656,005.84 = 213,871,104,003.90/x
  3. Step 3: Cross multiply
    213,871,104,003.90x = 320,806,656,005.84 × 213,871,104,003.90
  4. Step 4: Simplify right side
    213,871,104,003.90x = 68,611,273,691,768,381,505,536
  5. Step 5: Solve for x
    x = 68,611,273,691,768,381,505,536/213,871,104,003.90
  6. Step 6: Final answer
    x = 320,806,656,005.84

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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.