Finding the Fourth Proportional to 256,245,623.20, 384,368,434.80 and 213,163,472.80
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Solution
The fourth proportional to 256,245,623.20, 384,368,434.80 and 213,163,472.80 is: 319,745,209.20
Step by Step Solution
- Step 1: Write the proportion equation
256,245,623.20 : 384,368,434.80 = 213,163,472.80 : x - Step 2: Convert to fraction form
256,245,623.20/384,368,434.80 = 213,163,472.80/x - Step 3: Cross multiply
256,245,623.20x = 384,368,434.80 × 213,163,472.80 - Step 4: Simplify right side
256,245,623.20x = 81,933,310,396,668,384 - Step 5: Solve for x
x = 81,933,310,396,668,384/256,245,623.20 - Step 6: Final answer
x = 319,745,209.20
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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.