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Finding the Fourth Proportional to 20,942,864,028.90, 31,414,296,043.35 and 20,942,864,028.90

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Solution

The fourth proportional to 20,942,864,028.90, 31,414,296,043.35 and 20,942,864,028.90 is: 31,414,296,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942,864,028.90 : 31,414,296,043.35 = 20,942,864,028.90 : x
  2. Step 2: Convert to fraction form
    20,942,864,028.90/31,414,296,043.35 = 20,942,864,028.90/x
  3. Step 3: Cross multiply
    20,942,864,028.90x = 31,414,296,043.35 × 20,942,864,028.90
  4. Step 4: Simplify right side
    20,942,864,028.90x = 657,905,330,599,490,355,200
  5. Step 5: Solve for x
    x = 657,905,330,599,490,355,200/20,942,864,028.90
  6. Step 6: Final answer
    x = 31,414,296,043.35

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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.