Finding the Fourth Proportional to 3,474,780,163,937, 4,795,197,408,942.80 and 1,912,246,419,000.20
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Solution
The fourth proportional to 3,474,780,163,937, 4,795,197,408,942.80 and 1,912,246,419,000.20 is: 2,638,900,488,962.32
Step by Step Solution
- Step 1: Write the proportion equation
3,474,780,163,937 : 4,795,197,408,942.80 = 1,912,246,419,000.20 : x - Step 2: Convert to fraction form
3,474,780,163,937/4,795,197,408,942.80 = 1,912,246,419,000.20/x - Step 3: Cross multiply
3,474,780,163,937x = 4,795,197,408,942.80 × 1,912,246,419,000.20 - Step 4: Simplify right side
3,474,780,163,937x = 9,169,599,073,649,906,797,248,512 - Step 5: Solve for x
x = 9,169,599,073,649,906,797,248,512/3,474,780,163,937 - Step 6: Final answer
x = 2,638,900,488,962.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.