Finding the Fourth Proportional to 320,426,207.20, 480,639,310.80 and 199,493,855.20
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Solution
The fourth proportional to 320,426,207.20, 480,639,310.80 and 199,493,855.20 is: 299,240,782.80
Step by Step Solution
- Step 1: Write the proportion equation
320,426,207.20 : 480,639,310.80 = 199,493,855.20 : x - Step 2: Convert to fraction form
320,426,207.20/480,639,310.80 = 199,493,855.20/x - Step 3: Cross multiply
320,426,207.20x = 480,639,310.80 × 199,493,855.20 - Step 4: Simplify right side
320,426,207.20x = 95,884,589,072,162,992 - Step 5: Solve for x
x = 95,884,589,072,162,992/320,426,207.20 - Step 6: Final answer
x = 299,240,782.80
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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.