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Finding the Fourth Proportional to 851,817,633.15, 1,277,726,449.73 and 851,817,633.15

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Solution

The fourth proportional to 851,817,633.15, 1,277,726,449.73 and 851,817,633.15 is: 1,277,726,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,817,633.15 : 1,277,726,449.73 = 851,817,633.15 : x
  2. Step 2: Convert to fraction form
    851,817,633.15/1,277,726,449.73 = 851,817,633.15/x
  3. Step 3: Cross multiply
    851,817,633.15x = 1,277,726,449.73 × 851,817,633.15
  4. Step 4: Simplify right side
    851,817,633.15x = 1,088,389,920,217,901,824
  5. Step 5: Solve for x
    x = 1,088,389,920,217,901,824/851,817,633.15
  6. Step 6: Final answer
    x = 1,277,726,449.73

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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.