Finding the Fourth Proportional to 878,448,680,103.12, 1,212,192,649,972.80 and 492,998,583,022.08
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Solution
The fourth proportional to 878,448,680,103.12, 1,212,192,649,972.80 and 492,998,583,022.08 is: 680,300,707,738.80
Step by Step Solution
- Step 1: Write the proportion equation
878,448,680,103.12 : 1,212,192,649,972.80 = 492,998,583,022.08 : x - Step 2: Convert to fraction form
878,448,680,103.12/1,212,192,649,972.80 = 492,998,583,022.08/x - Step 3: Cross multiply
878,448,680,103.12x = 1,212,192,649,972.80 × 492,998,583,022.08 - Step 4: Simplify right side
878,448,680,103.12x = 597,609,258,786,370,661,384,192 - Step 5: Solve for x
x = 597,609,258,786,370,661,384,192/878,448,680,103.12 - Step 6: Final answer
x = 680,300,707,738.80
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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.