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Finding the Fourth Proportional to 14,565,432,842.45, 21,848,149,263.68 and 14,565,432,842.45

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Solution

The fourth proportional to 14,565,432,842.45, 21,848,149,263.68 and 14,565,432,842.45 is: 21,848,149,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565,432,842.45 : 21,848,149,263.68 = 14,565,432,842.45 : x
  2. Step 2: Convert to fraction form
    14,565,432,842.45/21,848,149,263.68 = 14,565,432,842.45/x
  3. Step 3: Cross multiply
    14,565,432,842.45x = 21,848,149,263.68 × 14,565,432,842.45
  4. Step 4: Simplify right side
    14,565,432,842.45x = 318,227,750,831,954,460,672
  5. Step 5: Solve for x
    x = 318,227,750,831,954,460,672/14,565,432,842.45
  6. Step 6: Final answer
    x = 21,848,149,263.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.