Finding the Fourth Proportional to 5,147,291,752.97, 7,102,694,212.76 and 2,888,713,233.14
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Solution
The fourth proportional to 5,147,291,752.97, 7,102,694,212.76 and 2,888,713,233.14 is: 3,986,105,266.23
Step by Step Solution
- Step 1: Write the proportion equation
5,147,291,752.97 : 7,102,694,212.76 = 2,888,713,233.14 : x - Step 2: Convert to fraction form
5,147,291,752.97/7,102,694,212.76 = 2,888,713,233.14/x - Step 3: Cross multiply
5,147,291,752.97x = 7,102,694,212.76 × 2,888,713,233.14 - Step 4: Simplify right side
5,147,291,752.97x = 20,517,646,763,296,751,616 - Step 5: Solve for x
x = 20,517,646,763,296,751,616/5,147,291,752.97 - Step 6: Final answer
x = 3,986,105,266.23
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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.