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Finding the Fourth Proportional to 5,667,739,775,998.70, 8,501,609,663,997.80 and 5,667,739,775,998.70

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Solution

The fourth proportional to 5,667,739,775,998.70, 8,501,609,663,997.80 and 5,667,739,775,998.70 is: 8,501,609,663,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,775,998.70 : 8,501,609,663,997.80 = 5,667,739,775,998.70 : x
  2. Step 2: Convert to fraction form
    5,667,739,775,998.70/8,501,609,663,997.80 = 5,667,739,775,998.70/x
  3. Step 3: Cross multiply
    5,667,739,775,998.70x = 8,501,609,663,997.80 × 5,667,739,775,998.70
  4. Step 4: Simplify right side
    5,667,739,775,998.70x = 48,184,911,252,655,278,542,290,944
  5. Step 5: Solve for x
    x = 48,184,911,252,655,278,542,290,944/5,667,739,775,998.70
  6. Step 6: Final answer
    x = 8,501,609,663,997.80

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