Finding the Fourth Proportional to 780,889,440,827.35, 1,171,786,066,912.20 and 327,567,745,254.08
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Solution
The fourth proportional to 780,889,440,827.35, 1,171,786,066,912.20 and 327,567,745,254.08 is: 491,541,183,412.47
Step by Step Solution
- Step 1: Write the proportion equation
780,889,440,827.35 : 1,171,786,066,912.20 = 327,567,745,254.08 : x - Step 2: Convert to fraction form
780,889,440,827.35/1,171,786,066,912.20 = 327,567,745,254.08/x - Step 3: Cross multiply
780,889,440,827.35x = 1,171,786,066,912.20 × 327,567,745,254.08 - Step 4: Simplify right side
780,889,440,827.35x = 383,839,319,858,575,883,370,496 - Step 5: Solve for x
x = 383,839,319,858,575,883,370,496/780,889,440,827.35 - Step 6: Final answer
x = 491,541,183,412.47
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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.