Finding the Fourth Proportional to 61,716,957,309,744, 85,163,865,312,284 and 35,735,193,538,734
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Solution
The fourth proportional to 61,716,957,309,744, 85,163,865,312,284 and 35,735,193,538,734 is: 49,311,361,773,187.32
Step by Step Solution
- Step 1: Write the proportion equation
61,716,957,309,744 : 85,163,865,312,284 = 35,735,193,538,734 : x - Step 2: Convert to fraction form
61,716,957,309,744/85,163,865,312,284 = 35,735,193,538,734/x - Step 3: Cross multiply
61,716,957,309,744x = 85,163,865,312,284 × 35,735,193,538,734 - Step 4: Simplify right side
61,716,957,309,744x = 3,043,347,209,441,143,851,197,661,184 - Step 5: Solve for x
x = 3,043,347,209,441,143,851,197,661,184/61,716,957,309,744 - Step 6: Final answer
x = 49,311,361,773,187.32
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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.