Finding the Fourth Proportional to 16,297,029,555,959, 22,489,970,706,486 and 8,889,623,597,776
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Solution
The fourth proportional to 16,297,029,555,959, 22,489,970,706,486 and 8,889,623,597,776 is: 12,267,718,704,146.65
Step by Step Solution
- Step 1: Write the proportion equation
16,297,029,555,959 : 22,489,970,706,486 = 8,889,623,597,776 : x - Step 2: Convert to fraction form
16,297,029,555,959/22,489,970,706,486 = 8,889,623,597,776/x - Step 3: Cross multiply
16,297,029,555,959x = 22,489,970,706,486 × 8,889,623,597,776 - Step 4: Simplify right side
16,297,029,555,959x = 199,927,374,305,668,940,469,108,736 - Step 5: Solve for x
x = 199,927,374,305,668,940,469,108,736/16,297,029,555,959 - Step 6: Final answer
x = 12,267,718,704,146.65
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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.