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Finding the Fourth Proportional to 77,649,408,033.20, 116,474,112,049.80 and 77,649,408,033.20

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Solution

The fourth proportional to 77,649,408,033.20, 116,474,112,049.80 and 77,649,408,033.20 is: 116,474,112,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649,408,033.20 : 116,474,112,049.80 = 77,649,408,033.20 : x
  2. Step 2: Convert to fraction form
    77,649,408,033.20/116,474,112,049.80 = 77,649,408,033.20/x
  3. Step 3: Cross multiply
    77,649,408,033.20x = 116,474,112,049.80 × 77,649,408,033.20
  4. Step 4: Simplify right side
    77,649,408,033.20x = 9,044,145,851,859,577,339,904
  5. Step 5: Solve for x
    x = 9,044,145,851,859,577,339,904/77,649,408,033.20
  6. Step 6: Final answer
    x = 116,474,112,049.80

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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.