Finding the Fourth Proportional to 34,133,149,229,022, 47,103,792,581,334 and 18,525,435,476,143
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Solution
The fourth proportional to 34,133,149,229,022, 47,103,792,581,334 and 18,525,435,476,143 is: 25,565,126,273,352.34
Step by Step Solution
- Step 1: Write the proportion equation
34,133,149,229,022 : 47,103,792,581,334 = 18,525,435,476,143 : x - Step 2: Convert to fraction form
34,133,149,229,022/47,103,792,581,334 = 18,525,435,476,143/x - Step 3: Cross multiply
34,133,149,229,022x = 47,103,792,581,334 × 18,525,435,476,143 - Step 4: Simplify right side
34,133,149,229,022x = 872,618,270,147,126,396,597,567,488 - Step 5: Solve for x
x = 872,618,270,147,126,396,597,567,488/34,133,149,229,022 - Step 6: Final answer
x = 25,565,126,273,352.34
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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.