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Finding the Fourth Proportional to 175,876,871,998.40, 263,815,307,997.60 and 175,876,871,998.40

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Solution

The fourth proportional to 175,876,871,998.40, 263,815,307,997.60 and 175,876,871,998.40 is: 263,815,307,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,876,871,998.40 : 263,815,307,997.60 = 175,876,871,998.40 : x
  2. Step 2: Convert to fraction form
    175,876,871,998.40/263,815,307,997.60 = 175,876,871,998.40/x
  3. Step 3: Cross multiply
    175,876,871,998.40x = 263,815,307,997.60 × 175,876,871,998.40
  4. Step 4: Simplify right side
    175,876,871,998.40x = 46,399,011,155,912,368,848,896
  5. Step 5: Solve for x
    x = 46,399,011,155,912,368,848,896/175,876,871,998.40
  6. Step 6: Final answer
    x = 263,815,307,997.60

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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.