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Finding the Fourth Proportional to 2,640,198,889,797.90, 3,960,298,334,697 and 2,640,198,889,797.90

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Solution

The fourth proportional to 2,640,198,889,797.90, 3,960,298,334,697 and 2,640,198,889,797.90 is: 3,960,298,334,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,797.90 : 3,960,298,334,697 = 2,640,198,889,797.90 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,797.90/3,960,298,334,697 = 2,640,198,889,797.90/x
  3. Step 3: Cross multiply
    2,640,198,889,797.90x = 3,960,298,334,697 × 2,640,198,889,797.90
  4. Step 4: Simplify right side
    2,640,198,889,797.90x = 10,455,975,266,535,491,346,890,752
  5. Step 5: Solve for x
    x = 10,455,975,266,535,491,346,890,752/2,640,198,889,797.90
  6. Step 6: Final answer
    x = 3,960,298,334,697

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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.