Finding the Fourth Proportional to 20,173,581,974,995, 27,839,569,972,639 and 10,924,582,226,261
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Solution
The fourth proportional to 20,173,581,974,995, 27,839,569,972,639 and 10,924,582,226,261 is: 15,075,938,010,751.65
Step by Step Solution
- Step 1: Write the proportion equation
20,173,581,974,995 : 27,839,569,972,639 = 10,924,582,226,261 : x - Step 2: Convert to fraction form
20,173,581,974,995/27,839,569,972,639 = 10,924,582,226,261/x - Step 3: Cross multiply
20,173,581,974,995x = 27,839,569,972,639 × 10,924,582,226,261 - Step 4: Simplify right side
20,173,581,974,995x = 304,135,671,309,841,469,034,987,520 - Step 5: Solve for x
x = 304,135,671,309,841,469,034,987,520/20,173,581,974,995 - Step 6: Final answer
x = 15,075,938,010,751.65
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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.