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Finding the Fourth Proportional to 940,274,003.80, 1,410,411,005.70 and 682,284,986.20

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Solution

The fourth proportional to 940,274,003.80, 1,410,411,005.70 and 682,284,986.20 is: 1,023,427,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,274,003.80 : 1,410,411,005.70 = 682,284,986.20 : x
  2. Step 2: Convert to fraction form
    940,274,003.80/1,410,411,005.70 = 682,284,986.20/x
  3. Step 3: Cross multiply
    940,274,003.80x = 1,410,411,005.70 × 682,284,986.20
  4. Step 4: Simplify right side
    940,274,003.80x = 962,302,253,560,352,768
  5. Step 5: Solve for x
    x = 962,302,253,560,352,768/940,274,003.80
  6. Step 6: Final answer
    x = 1,023,427,479.30

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1.5x scale

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.