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Finding the Fourth Proportional to 335,686,183,905.70, 503,529,275,858.55 and 335,686,183,905.70

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Solution

The fourth proportional to 335,686,183,905.70, 503,529,275,858.55 and 335,686,183,905.70 is: 503,529,275,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,686,183,905.70 : 503,529,275,858.55 = 335,686,183,905.70 : x
  2. Step 2: Convert to fraction form
    335,686,183,905.70/503,529,275,858.55 = 335,686,183,905.70/x
  3. Step 3: Cross multiply
    335,686,183,905.70x = 503,529,275,858.55 × 335,686,183,905.70
  4. Step 4: Simplify right side
    335,686,183,905.70x = 169,027,821,097,757,150,543,872
  5. Step 5: Solve for x
    x = 169,027,821,097,757,150,543,872/335,686,183,905.70
  6. Step 6: Final answer
    x = 503,529,275,858.55

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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.