Finding the Fourth Proportional to 2,149,022,956.20, 3,223,534,434.30 and 1,977,030,277.80
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Solution
The fourth proportional to 2,149,022,956.20, 3,223,534,434.30 and 1,977,030,277.80 is: 2,965,545,416.70
Step by Step Solution
- Step 1: Write the proportion equation
2,149,022,956.20 : 3,223,534,434.30 = 1,977,030,277.80 : x - Step 2: Convert to fraction form
2,149,022,956.20/3,223,534,434.30 = 1,977,030,277.80/x - Step 3: Cross multiply
2,149,022,956.20x = 3,223,534,434.30 × 1,977,030,277.80 - Step 4: Simplify right side
2,149,022,956.20x = 6,373,025,178,141,995,008 - Step 5: Solve for x
x = 6,373,025,178,141,995,008/2,149,022,956.20 - Step 6: Final answer
x = 2,965,545,416.70
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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.