Finding the Fourth Proportional to 34,396,150,104,478, 47,466,685,328,852 and 18,575,494,414,177
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Solution
The fourth proportional to 34,396,150,104,478, 47,466,685,328,852 and 18,575,494,414,177 is: 25,634,181,311,204.30
Step by Step Solution
- Step 1: Write the proportion equation
34,396,150,104,478 : 47,466,685,328,852 = 18,575,494,414,177 : x - Step 2: Convert to fraction form
34,396,150,104,478/47,466,685,328,852 = 18,575,494,414,177/x - Step 3: Cross multiply
34,396,150,104,478x = 47,466,685,328,852 × 18,575,494,414,177 - Step 4: Simplify right side
34,396,150,104,478x = 881,717,148,185,587,717,144,313,856 - Step 5: Solve for x
x = 881,717,148,185,587,717,144,313,856/34,396,150,104,478 - Step 6: Final answer
x = 25,634,181,311,204.30
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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.