Finding the Fourth Proportional to 17,932,072,866,759, 24,746,284,420,252 and 9,710,739,756,770.20
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Solution
The fourth proportional to 17,932,072,866,759, 24,746,284,420,252 and 9,710,739,756,770.20 is: 13,400,833,787,461.42
Step by Step Solution
- Step 1: Write the proportion equation
17,932,072,866,759 : 24,746,284,420,252 = 9,710,739,756,770.20 : x - Step 2: Convert to fraction form
17,932,072,866,759/24,746,284,420,252 = 9,710,739,756,770.20/x - Step 3: Cross multiply
17,932,072,866,759x = 24,746,284,420,252 × 9,710,739,756,770.20 - Step 4: Simplify right side
17,932,072,866,759x = 240,304,727,952,084,093,628,317,696 - Step 5: Solve for x
x = 240,304,727,952,084,093,628,317,696/17,932,072,866,759 - Step 6: Final answer
x = 13,400,833,787,461.42
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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.