Finding the Fourth Proportional to 11,012,916,165,047, 15,197,871,556,552 and 6,007,271,392,423.80
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Solution
The fourth proportional to 11,012,916,165,047, 15,197,871,556,552 and 6,007,271,392,423.80 is: 8,290,060,294,581.07
Step by Step Solution
- Step 1: Write the proportion equation
11,012,916,165,047 : 15,197,871,556,552 = 6,007,271,392,423.80 : x - Step 2: Convert to fraction form
11,012,916,165,047/15,197,871,556,552 = 6,007,271,392,423.80/x - Step 3: Cross multiply
11,012,916,165,047x = 15,197,871,556,552 × 6,007,271,392,423.80 - Step 4: Simplify right side
11,012,916,165,047x = 91,297,739,027,406,187,518,754,816 - Step 5: Solve for x
x = 91,297,739,027,406,187,518,754,816/11,012,916,165,047 - Step 6: Final answer
x = 8,290,060,294,581.07
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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.