Finding the Fourth Proportional to 8,446,981,657.65, 11,656,846,230.93 and 4,584,517,320.72
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Solution
The fourth proportional to 8,446,981,657.65, 11,656,846,230.93 and 4,584,517,320.72 is: 6,326,640,167.65
Step by Step Solution
- Step 1: Write the proportion equation
8,446,981,657.65 : 11,656,846,230.93 = 4,584,517,320.72 : x - Step 2: Convert to fraction form
8,446,981,657.65/11,656,846,230.93 = 4,584,517,320.72/x - Step 3: Cross multiply
8,446,981,657.65x = 11,656,846,230.93 × 4,584,517,320.72 - Step 4: Simplify right side
8,446,981,657.65x = 53,441,013,450,668,236,800 - Step 5: Solve for x
x = 53,441,013,450,668,236,800/8,446,981,657.65 - Step 6: Final answer
x = 6,326,640,167.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.