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Finding the Fourth Proportional to 1,922,321,377.20, 2,697,372,128.40 and 1,922,321,377.20

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Solution

The fourth proportional to 1,922,321,377.20, 2,697,372,128.40 and 1,922,321,377.20 is: 2,697,372,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,321,377.20 : 2,697,372,128.40 = 1,922,321,377.20 : x
  2. Step 2: Convert to fraction form
    1,922,321,377.20/2,697,372,128.40 = 1,922,321,377.20/x
  3. Step 3: Cross multiply
    1,922,321,377.20x = 2,697,372,128.40 × 1,922,321,377.20
  4. Step 4: Simplify right side
    1,922,321,377.20x = 5,185,216,104,686,783,488
  5. Step 5: Solve for x
    x = 5,185,216,104,686,783,488/1,922,321,377.20
  6. Step 6: Final answer
    x = 2,697,372,128.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.