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Finding the Fourth Proportional to 335,686,186,600.20, 503,529,279,900.30 and 335,686,186,600.20

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Solution

The fourth proportional to 335,686,186,600.20, 503,529,279,900.30 and 335,686,186,600.20 is: 503,529,279,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,686,186,600.20 : 503,529,279,900.30 = 335,686,186,600.20 : x
  2. Step 2: Convert to fraction form
    335,686,186,600.20/503,529,279,900.30 = 335,686,186,600.20/x
  3. Step 3: Cross multiply
    335,686,186,600.20x = 503,529,279,900.30 × 335,686,186,600.20
  4. Step 4: Simplify right side
    335,686,186,600.20x = 169,027,823,811,276,451,086,336
  5. Step 5: Solve for x
    x = 169,027,823,811,276,451,086,336/335,686,186,600.20
  6. Step 6: Final answer
    x = 503,529,279,900.30

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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.