Finding the Fourth Proportional to 34,133,149,229,066, 47,103,792,581,396 and 18,525,435,476,188
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Solution
The fourth proportional to 34,133,149,229,066, 47,103,792,581,396 and 18,525,435,476,188 is: 25,565,126,273,415.13
Step by Step Solution
- Step 1: Write the proportion equation
34,133,149,229,066 : 47,103,792,581,396 = 18,525,435,476,188 : x - Step 2: Convert to fraction form
34,133,149,229,066/47,103,792,581,396 = 18,525,435,476,188/x - Step 3: Cross multiply
34,133,149,229,066x = 47,103,792,581,396 × 18,525,435,476,188 - Step 4: Simplify right side
34,133,149,229,066x = 872,618,270,150,394,557,472,178,176 - Step 5: Solve for x
x = 872,618,270,150,394,557,472,178,176/34,133,149,229,066 - Step 6: Final answer
x = 25,565,126,273,415.13
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1.5x scale
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.