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Finding the Fourth Proportional to 6,440,299,840.80, 9,660,449,761.20 and 6,440,299,840.80

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Solution

The fourth proportional to 6,440,299,840.80, 9,660,449,761.20 and 6,440,299,840.80 is: 9,660,449,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440,299,840.80 : 9,660,449,761.20 = 6,440,299,840.80 : x
  2. Step 2: Convert to fraction form
    6,440,299,840.80/9,660,449,761.20 = 6,440,299,840.80/x
  3. Step 3: Cross multiply
    6,440,299,840.80x = 9,660,449,761.20 × 6,440,299,840.80
  4. Step 4: Simplify right side
    6,440,299,840.80x = 62,216,193,059,112,763,392
  5. Step 5: Solve for x
    x = 62,216,193,059,112,763,392/6,440,299,840.80
  6. Step 6: Final answer
    x = 9,660,449,761.20

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1.5x scale

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.