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Finding the Fourth Proportional to 851,256,811.40, 1,276,885,217.10 and 851,256,811.40

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Solution

The fourth proportional to 851,256,811.40, 1,276,885,217.10 and 851,256,811.40 is: 1,276,885,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,256,811.40 : 1,276,885,217.10 = 851,256,811.40 : x
  2. Step 2: Convert to fraction form
    851,256,811.40/1,276,885,217.10 = 851,256,811.40/x
  3. Step 3: Cross multiply
    851,256,811.40x = 1,276,885,217.10 × 851,256,811.40
  4. Step 4: Simplify right side
    851,256,811.40x = 1,086,957,238,432,342,656
  5. Step 5: Solve for x
    x = 1,086,957,238,432,342,656/851,256,811.40
  6. Step 6: Final answer
    x = 1,276,885,217.10

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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.