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Finding the Fourth Proportional to 851,817,378.40, 1,277,726,067.60 and 851,817,378.40

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Solution

The fourth proportional to 851,817,378.40, 1,277,726,067.60 and 851,817,378.40 is: 1,277,726,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,817,378.40 : 1,277,726,067.60 = 851,817,378.40 : x
  2. Step 2: Convert to fraction form
    851,817,378.40/1,277,726,067.60 = 851,817,378.40/x
  3. Step 3: Cross multiply
    851,817,378.40x = 1,277,726,067.60 × 851,817,378.40
  4. Step 4: Simplify right side
    851,817,378.40x = 1,088,389,269,216,373,120
  5. Step 5: Solve for x
    x = 1,088,389,269,216,373,120/851,817,378.40
  6. Step 6: Final answer
    x = 1,277,726,067.60

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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.