Finding the Fourth Proportional to 440,745,287,042.79, 660,810,554,835.21 and 195,286,912,434.84
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Solution
The fourth proportional to 440,745,287,042.79, 660,810,554,835.21 and 195,286,912,434.84 is: 292,794,175,574.69
Step by Step Solution
- Step 1: Write the proportion equation
440,745,287,042.79 : 660,810,554,835.21 = 195,286,912,434.84 : x - Step 2: Convert to fraction form
440,745,287,042.79/660,810,554,835.21 = 195,286,912,434.84/x - Step 3: Cross multiply
440,745,287,042.79x = 660,810,554,835.21 × 195,286,912,434.84 - Step 4: Simplify right side
440,745,287,042.79x = 129,047,652,958,121,681,223,680 - Step 5: Solve for x
x = 129,047,652,958,121,681,223,680/440,745,287,042.79 - Step 6: Final answer
x = 292,794,175,574.69
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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.