Finding the Fourth Proportional to 16,229,525,006,682, 22,396,758,940,974 and 8,821,957,623,293
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Solution
The fourth proportional to 16,229,525,006,682, 22,396,758,940,974 and 8,821,957,623,293 is: 12,174,309,364,878.67
Step by Step Solution
- Step 1: Write the proportion equation
16,229,525,006,682 : 22,396,758,940,974 = 8,821,957,623,293 : x - Step 2: Convert to fraction form
16,229,525,006,682/22,396,758,940,974 = 8,821,957,623,293/x - Step 3: Cross multiply
16,229,525,006,682x = 22,396,758,940,974 × 8,821,957,623,293 - Step 4: Simplify right side
16,229,525,006,682x = 197,583,258,276,381,241,762,643,968 - Step 5: Solve for x
x = 197,583,258,276,381,241,762,643,968/16,229,525,006,682 - Step 6: Final answer
x = 12,174,309,364,878.67
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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.