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Finding the Fourth Proportional to 14,565,432,814.95, 21,848,149,222.43 and 14,565,432,814.95

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Solution

The fourth proportional to 14,565,432,814.95, 21,848,149,222.43 and 14,565,432,814.95 is: 21,848,149,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565,432,814.95 : 21,848,149,222.43 = 14,565,432,814.95 : x
  2. Step 2: Convert to fraction form
    14,565,432,814.95/21,848,149,222.43 = 14,565,432,814.95/x
  3. Step 3: Cross multiply
    14,565,432,814.95x = 21,848,149,222.43 × 14,565,432,814.95
  4. Step 4: Simplify right side
    14,565,432,814.95x = 318,227,749,630,233,411,584
  5. Step 5: Solve for x
    x = 318,227,749,630,233,411,584/14,565,432,814.95
  6. Step 6: Final answer
    x = 21,848,149,222.43

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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.