Finding the Fourth Proportional to 9,707,095,771.11, 13,405,043,862.93 and 9,178,259,236.92
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Solution
The fourth proportional to 9,707,095,771.11, 13,405,043,862.93 and 9,178,259,236.92 is: 12,674,745,418.96
Step by Step Solution
- Step 1: Write the proportion equation
9,707,095,771.11 : 13,405,043,862.93 = 9,178,259,236.92 : x - Step 2: Convert to fraction form
9,707,095,771.11/13,405,043,862.93 = 9,178,259,236.92/x - Step 3: Cross multiply
9,707,095,771.11x = 13,405,043,862.93 × 9,178,259,236.92 - Step 4: Simplify right side
9,707,095,771.11x = 123,034,967,656,255,029,248 - Step 5: Solve for x
x = 123,034,967,656,255,029,248/9,707,095,771.11 - Step 6: Final answer
x = 12,674,745,418.96
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1.5x scale
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.