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Finding the Fourth Proportional to 1,219,449,753.47, 1,682,840,657.34 and 690,813,738.86

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Solution

The fourth proportional to 1,219,449,753.47, 1,682,840,657.34 and 690,813,738.86 is: 953,322,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,449,753.47 : 1,682,840,657.34 = 690,813,738.86 : x
  2. Step 2: Convert to fraction form
    1,219,449,753.47/1,682,840,657.34 = 690,813,738.86/x
  3. Step 3: Cross multiply
    1,219,449,753.47x = 1,682,840,657.34 × 690,813,738.86
  4. Step 4: Simplify right side
    1,219,449,753.47x = 1,162,529,446,394,251,264
  5. Step 5: Solve for x
    x = 1,162,529,446,394,251,264/1,219,449,753.47
  6. Step 6: Final answer
    x = 953,322,958.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.