Finding the Fourth Proportional to 2,135,642,705.80, 3,203,464,058.70 and 681,767,096.20
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Solution
The fourth proportional to 2,135,642,705.80, 3,203,464,058.70 and 681,767,096.20 is: 1,022,650,644.30
Step by Step Solution
- Step 1: Write the proportion equation
2,135,642,705.80 : 3,203,464,058.70 = 681,767,096.20 : x - Step 2: Convert to fraction form
2,135,642,705.80/3,203,464,058.70 = 681,767,096.20/x - Step 3: Cross multiply
2,135,642,705.80x = 3,203,464,058.70 × 681,767,096.20 - Step 4: Simplify right side
2,135,642,705.80x = 2,184,016,389,080,965,376 - Step 5: Solve for x
x = 2,184,016,389,080,965,376/2,135,642,705.80 - Step 6: Final answer
x = 1,022,650,644.30
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.