Finding the Fourth Proportional to 392,256,496.80, 588,384,745.20 and 256,207,600.80
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Solution
The fourth proportional to 392,256,496.80, 588,384,745.20 and 256,207,600.80 is: 384,311,401.20
Step by Step Solution
- Step 1: Write the proportion equation
392,256,496.80 : 588,384,745.20 = 256,207,600.80 : x - Step 2: Convert to fraction form
392,256,496.80/588,384,745.20 = 256,207,600.80/x - Step 3: Cross multiply
392,256,496.80x = 588,384,745.20 × 256,207,600.80 - Step 4: Simplify right side
392,256,496.80x = 150,748,643,915,011,328 - Step 5: Solve for x
x = 150,748,643,915,011,328/392,256,496.80 - Step 6: Final answer
x = 384,311,401.20
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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.