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Finding the Fourth Proportional to 81,082,650,672.45, 121,623,976,008.67 and 81,082,650,672.45

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Solution

The fourth proportional to 81,082,650,672.45, 121,623,976,008.67 and 81,082,650,672.45 is: 121,623,976,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082,650,672.45 : 121,623,976,008.67 = 81,082,650,672.45 : x
  2. Step 2: Convert to fraction form
    81,082,650,672.45/121,623,976,008.67 = 81,082,650,672.45/x
  3. Step 3: Cross multiply
    81,082,650,672.45x = 121,623,976,008.67 × 81,082,650,672.45
  4. Step 4: Simplify right side
    81,082,650,672.45x = 9,861,594,360,105,429,630,976
  5. Step 5: Solve for x
    x = 9,861,594,360,105,429,630,976/81,082,650,672.45
  6. Step 6: Final answer
    x = 121,623,976,008.67

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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.