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Finding the Fourth Proportional to 57,686,517,006.20, 86,529,775,509.30 and 57,686,517,006.20

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Solution

The fourth proportional to 57,686,517,006.20, 86,529,775,509.30 and 57,686,517,006.20 is: 86,529,775,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686,517,006.20 : 86,529,775,509.30 = 57,686,517,006.20 : x
  2. Step 2: Convert to fraction form
    57,686,517,006.20/86,529,775,509.30 = 57,686,517,006.20/x
  3. Step 3: Cross multiply
    57,686,517,006.20x = 86,529,775,509.30 × 57,686,517,006.20
  4. Step 4: Simplify right side
    57,686,517,006.20x = 4,991,601,366,459,902,590,976
  5. Step 5: Solve for x
    x = 4,991,601,366,459,902,590,976/57,686,517,006.20
  6. Step 6: Final answer
    x = 86,529,775,509.30

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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.