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Finding the Fourth Proportional to 445,305,492,027.80, 667,958,238,041.67 and 445,305,492,027.80

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Solution

The fourth proportional to 445,305,492,027.80, 667,958,238,041.67 and 445,305,492,027.80 is: 667,958,238,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,305,492,027.80 : 667,958,238,041.67 = 445,305,492,027.80 : x
  2. Step 2: Convert to fraction form
    445,305,492,027.80/667,958,238,041.67 = 445,305,492,027.80/x
  3. Step 3: Cross multiply
    445,305,492,027.80x = 667,958,238,041.67 × 445,305,492,027.80
  4. Step 4: Simplify right side
    445,305,492,027.80x = 297,445,471,845,168,233,578,496
  5. Step 5: Solve for x
    x = 297,445,471,845,168,233,578,496/445,305,492,027.80
  6. Step 6: Final answer
    x = 667,958,238,041.67

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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.