Finding the Fourth Proportional to 279,420,163,231.20, 419,130,244,846.80 and 279,420,163,231.20
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Solution
The fourth proportional to 279,420,163,231.20, 419,130,244,846.80 and 279,420,163,231.20 is: 419,130,244,846.80
Step by Step Solution
- Step 1: Write the proportion equation
279,420,163,231.20 : 419,130,244,846.80 = 279,420,163,231.20 : x - Step 2: Convert to fraction form
279,420,163,231.20/419,130,244,846.80 = 279,420,163,231.20/x - Step 3: Cross multiply
279,420,163,231.20x = 419,130,244,846.80 × 279,420,163,231.20 - Step 4: Simplify right side
279,420,163,231.20x = 117,113,441,430,225,679,286,272 - Step 5: Solve for x
x = 117,113,441,430,225,679,286,272/279,420,163,231.20 - Step 6: Final answer
x = 419,130,244,846.80
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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.