Finding the Fourth Proportional to 11,012,916,165,055, 15,197,871,556,562 and 6,007,271,392,431.90
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Solution
The fourth proportional to 11,012,916,165,055, 15,197,871,556,562 and 6,007,271,392,431.90 is: 8,290,060,294,591.69
Step by Step Solution
- Step 1: Write the proportion equation
11,012,916,165,055 : 15,197,871,556,562 = 6,007,271,392,431.90 : x - Step 2: Convert to fraction form
11,012,916,165,055/15,197,871,556,562 = 6,007,271,392,431.90/x - Step 3: Cross multiply
11,012,916,165,055x = 15,197,871,556,562 × 6,007,271,392,431.90 - Step 4: Simplify right side
11,012,916,165,055x = 91,297,739,027,589,376,463,863,808 - Step 5: Solve for x
x = 91,297,739,027,589,376,463,863,808/11,012,916,165,055 - Step 6: Final answer
x = 8,290,060,294,591.69
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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.