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Finding the Fourth Proportional to 14,565,432,832.70, 21,848,149,249.05 and 14,565,432,832.70

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Solution

The fourth proportional to 14,565,432,832.70, 21,848,149,249.05 and 14,565,432,832.70 is: 21,848,149,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565,432,832.70 : 21,848,149,249.05 = 14,565,432,832.70 : x
  2. Step 2: Convert to fraction form
    14,565,432,832.70/21,848,149,249.05 = 14,565,432,832.70/x
  3. Step 3: Cross multiply
    14,565,432,832.70x = 21,848,149,249.05 × 14,565,432,832.70
  4. Step 4: Simplify right side
    14,565,432,832.70x = 318,227,750,405,842,731,008
  5. Step 5: Solve for x
    x = 318,227,750,405,842,731,008/14,565,432,832.70
  6. Step 6: Final answer
    x = 21,848,149,249.05

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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.