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Finding the Fourth Proportional to 10,135,733,998.40, 15,203,600,997.60 and 10,135,733,998.40

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Solution

The fourth proportional to 10,135,733,998.40, 15,203,600,997.60 and 10,135,733,998.40 is: 15,203,600,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135,733,998.40 : 15,203,600,997.60 = 10,135,733,998.40 : x
  2. Step 2: Convert to fraction form
    10,135,733,998.40/15,203,600,997.60 = 10,135,733,998.40/x
  3. Step 3: Cross multiply
    10,135,733,998.40x = 15,203,600,997.60 × 10,135,733,998.40
  4. Step 4: Simplify right side
    10,135,733,998.40x = 154,099,655,529,482,485,760
  5. Step 5: Solve for x
    x = 154,099,655,529,482,485,760/10,135,733,998.40
  6. Step 6: Final answer
    x = 15,203,600,997.60

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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.