Finding the Fourth Proportional to 13,065,942,271,460, 18,031,027,037,381 and 7,213,057,574,832
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Solution
The fourth proportional to 13,065,942,271,460, 18,031,027,037,381 and 7,213,057,574,832 is: 9,954,034,194,538.71
Step by Step Solution
- Step 1: Write the proportion equation
13,065,942,271,460 : 18,031,027,037,381 = 7,213,057,574,832 : x - Step 2: Convert to fraction form
13,065,942,271,460/18,031,027,037,381 = 7,213,057,574,832/x - Step 3: Cross multiply
13,065,942,271,460x = 18,031,027,037,381 × 7,213,057,574,832 - Step 4: Simplify right side
13,065,942,271,460x = 130,058,836,153,981,609,147,629,568 - Step 5: Solve for x
x = 130,058,836,153,981,609,147,629,568/13,065,942,271,460 - Step 6: Final answer
x = 9,954,034,194,538.71
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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.