Finding the Fourth Proportional to 27,338,575,696,554, 37,727,262,382,796 and 14,838,308,314,209
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Solution
The fourth proportional to 27,338,575,696,554, 37,727,262,382,796 and 14,838,308,314,209 is: 20,476,880,628,333.16
Step by Step Solution
- Step 1: Write the proportion equation
27,338,575,696,554 : 37,727,262,382,796 = 14,838,308,314,209 : x - Step 2: Convert to fraction form
27,338,575,696,554/37,727,262,382,796 = 14,838,308,314,209/x - Step 3: Cross multiply
27,338,575,696,554x = 37,727,262,382,796 × 14,838,308,314,209 - Step 4: Simplify right side
27,338,575,696,554x = 559,808,751,086,986,345,127,608,320 - Step 5: Solve for x
x = 559,808,751,086,986,345,127,608,320/27,338,575,696,554 - Step 6: Final answer
x = 20,476,880,628,333.16
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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.