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Finding the Fourth Proportional to 6,019,368,015,486.90, 9,029,052,023,230.80 and 6,019,368,015,486.90

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Solution

The fourth proportional to 6,019,368,015,486.90, 9,029,052,023,230.80 and 6,019,368,015,486.90 is: 9,029,052,023,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,368,015,486.90 : 9,029,052,023,230.80 = 6,019,368,015,486.90 : x
  2. Step 2: Convert to fraction form
    6,019,368,015,486.90/9,029,052,023,230.80 = 6,019,368,015,486.90/x
  3. Step 3: Cross multiply
    6,019,368,015,486.90x = 9,029,052,023,230.80 × 6,019,368,015,486.90
  4. Step 4: Simplify right side
    6,019,368,015,486.90x = 54,349,186,958,802,769,324,015,616
  5. Step 5: Solve for x
    x = 54,349,186,958,802,769,324,015,616/6,019,368,015,486.90
  6. Step 6: Final answer
    x = 9,029,052,023,230.80

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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.