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Finding the Fourth Proportional to 22,006,645,997.70, 33,009,968,996.55 and 22,006,645,997.70

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Solution

The fourth proportional to 22,006,645,997.70, 33,009,968,996.55 and 22,006,645,997.70 is: 33,009,968,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006,645,997.70 : 33,009,968,996.55 = 22,006,645,997.70 : x
  2. Step 2: Convert to fraction form
    22,006,645,997.70/33,009,968,996.55 = 22,006,645,997.70/x
  3. Step 3: Cross multiply
    22,006,645,997.70x = 33,009,968,996.55 × 22,006,645,997.70
  4. Step 4: Simplify right side
    22,006,645,997.70x = 726,438,702,102,128,099,328
  5. Step 5: Solve for x
    x = 726,438,702,102,128,099,328/22,006,645,997.70
  6. Step 6: Final answer
    x = 33,009,968,996.55

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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.