Finding the Fourth Proportional to 424,034,929,115.48, 585,167,405,316.75 and 231,347,232,568.62
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Solution
The fourth proportional to 424,034,929,115.48, 585,167,405,316.75 and 231,347,232,568.62 is: 319,258,746,188.15
Step by Step Solution
- Step 1: Write the proportion equation
424,034,929,115.48 : 585,167,405,316.75 = 231,347,232,568.62 : x - Step 2: Convert to fraction form
424,034,929,115.48/585,167,405,316.75 = 231,347,232,568.62/x - Step 3: Cross multiply
424,034,929,115.48x = 585,167,405,316.75 × 231,347,232,568.62 - Step 4: Simplify right side
424,034,929,115.48x = 135,376,859,809,390,088,159,232 - Step 5: Solve for x
x = 135,376,859,809,390,088,159,232/424,034,929,115.48 - Step 6: Final answer
x = 319,258,746,188.15
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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.