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Finding the Fourth Proportional to 40,428,946,878.20, 60,643,420,317.30 and 40,428,946,878.20

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Solution

The fourth proportional to 40,428,946,878.20, 60,643,420,317.30 and 40,428,946,878.20 is: 60,643,420,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428,946,878.20 : 60,643,420,317.30 = 40,428,946,878.20 : x
  2. Step 2: Convert to fraction form
    40,428,946,878.20/60,643,420,317.30 = 40,428,946,878.20/x
  3. Step 3: Cross multiply
    40,428,946,878.20x = 60,643,420,317.30 × 40,428,946,878.20
  4. Step 4: Simplify right side
    40,428,946,878.20x = 2,451,749,618,520,476,352,512
  5. Step 5: Solve for x
    x = 2,451,749,618,520,476,352,512/40,428,946,878.20
  6. Step 6: Final answer
    x = 60,643,420,317.30

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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.