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Finding the Fourth Proportional to 839,876,465.20, 1,259,814,697.80 and 839,876,465.20

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Solution

The fourth proportional to 839,876,465.20, 1,259,814,697.80 and 839,876,465.20 is: 1,259,814,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,876,465.20 : 1,259,814,697.80 = 839,876,465.20 : x
  2. Step 2: Convert to fraction form
    839,876,465.20/1,259,814,697.80 = 839,876,465.20/x
  3. Step 3: Cross multiply
    839,876,465.20x = 1,259,814,697.80 × 839,876,465.20
  4. Step 4: Simplify right side
    839,876,465.20x = 1,058,088,715,195,270,272
  5. Step 5: Solve for x
    x = 1,058,088,715,195,270,272/839,876,465.20
  6. Step 6: Final answer
    x = 1,259,814,697.80

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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.