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Finding the Fourth Proportional to 940,339,922.20, 1,410,509,883.30 and 681,007,211.80

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Solution

The fourth proportional to 940,339,922.20, 1,410,509,883.30 and 681,007,211.80 is: 1,021,510,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,339,922.20 : 1,410,509,883.30 = 681,007,211.80 : x
  2. Step 2: Convert to fraction form
    940,339,922.20/1,410,509,883.30 = 681,007,211.80/x
  3. Step 3: Cross multiply
    940,339,922.20x = 1,410,509,883.30 × 681,007,211.80
  4. Step 4: Simplify right side
    940,339,922.20x = 960,567,402,842,476,288
  5. Step 5: Solve for x
    x = 960,567,402,842,476,288/940,339,922.20
  6. Step 6: Final answer
    x = 1,021,510,817.70

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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.