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Finding the Fourth Proportional to 40,665,144,784.73, 60,997,717,177.09 and 40,665,144,784.73

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Solution

The fourth proportional to 40,665,144,784.73, 60,997,717,177.09 and 40,665,144,784.73 is: 60,997,717,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,665,144,784.73 : 60,997,717,177.09 = 40,665,144,784.73 : x
  2. Step 2: Convert to fraction form
    40,665,144,784.73/60,997,717,177.09 = 40,665,144,784.73/x
  3. Step 3: Cross multiply
    40,665,144,784.73x = 60,997,717,177.09 × 40,665,144,784.73
  4. Step 4: Simplify right side
    40,665,144,784.73x = 2,480,481,000,543,868,682,240
  5. Step 5: Solve for x
    x = 2,480,481,000,543,868,682,240/40,665,144,784.73
  6. Step 6: Final answer
    x = 60,997,717,177.09

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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.