Finding the Fourth Proportional to 109,879,240,931.20, 164,818,861,396.80 and 27,161,512,163.20
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Solution
The fourth proportional to 109,879,240,931.20, 164,818,861,396.80 and 27,161,512,163.20 is: 40,742,268,244.80
Step by Step Solution
- Step 1: Write the proportion equation
109,879,240,931.20 : 164,818,861,396.80 = 27,161,512,163.20 : x - Step 2: Convert to fraction form
109,879,240,931.20/164,818,861,396.80 = 27,161,512,163.20/x - Step 3: Cross multiply
109,879,240,931.20x = 164,818,861,396.80 × 27,161,512,163.20 - Step 4: Simplify right side
109,879,240,931.20x = 4,476,729,508,553,958,096,896 - Step 5: Solve for x
x = 4,476,729,508,553,958,096,896/109,879,240,931.20 - Step 6: Final answer
x = 40,742,268,244.80
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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.