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Finding the Fourth Proportional to 335,632,895,999.78, 503,449,343,999.67 and 335,632,895,999.78

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Solution

The fourth proportional to 335,632,895,999.78, 503,449,343,999.67 and 335,632,895,999.78 is: 503,449,343,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,632,895,999.78 : 503,449,343,999.67 = 335,632,895,999.78 : x
  2. Step 2: Convert to fraction form
    335,632,895,999.78/503,449,343,999.67 = 335,632,895,999.78/x
  3. Step 3: Cross multiply
    335,632,895,999.78x = 503,449,343,999.67 × 335,632,895,999.78
  4. Step 4: Simplify right side
    335,632,895,999.78x = 168,974,161,315,798,706,028,544
  5. Step 5: Solve for x
    x = 168,974,161,315,798,706,028,544/335,632,895,999.78
  6. Step 6: Final answer
    x = 503,449,343,999.67

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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.