Finding the Fourth Proportional to 1,330,735,082.28, 1,995,678,110.16 and 457,125,794.43
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Solution
The fourth proportional to 1,330,735,082.28, 1,995,678,110.16 and 457,125,794.43 is: 685,542,865.50
Step by Step Solution
- Step 1: Write the proportion equation
1,330,735,082.28 : 1,995,678,110.16 = 457,125,794.43 : x - Step 2: Convert to fraction form
1,330,735,082.28/1,995,678,110.16 = 457,125,794.43/x - Step 3: Cross multiply
1,330,735,082.28x = 1,995,678,110.16 × 457,125,794.43 - Step 4: Simplify right side
1,330,735,082.28x = 912,275,941,525,967,232 - Step 5: Solve for x
x = 912,275,941,525,967,232/1,330,735,082.28 - Step 6: Final answer
x = 685,542,865.50
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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.