Finding the Fourth Proportional to 1,463,305,121.83, 2,194,606,233.62 and 675,601,948.19
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Solution
The fourth proportional to 1,463,305,121.83, 2,194,606,233.62 and 675,601,948.19 is: 1,013,240,659.67
Step by Step Solution
- Step 1: Write the proportion equation
1,463,305,121.83 : 2,194,606,233.62 = 675,601,948.19 : x - Step 2: Convert to fraction form
1,463,305,121.83/2,194,606,233.62 = 675,601,948.19/x - Step 3: Cross multiply
1,463,305,121.83x = 2,194,606,233.62 × 675,601,948.19 - Step 4: Simplify right side
1,463,305,121.83x = 1,482,680,246,948,222,208 - Step 5: Solve for x
x = 1,482,680,246,948,222,208/1,463,305,121.83 - Step 6: Final answer
x = 1,013,240,659.67
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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.