Finding the Fourth Proportional to 27,329,111,708,686, 37,715,261,509,746 and 14,997,532,076,081
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Solution
The fourth proportional to 27,329,111,708,686, 37,715,261,509,746 and 14,997,532,076,081 is: 20,697,190,976,405.68
Step by Step Solution
- Step 1: Write the proportion equation
27,329,111,708,686 : 37,715,261,509,746 = 14,997,532,076,081 : x - Step 2: Convert to fraction form
27,329,111,708,686/37,715,261,509,746 = 14,997,532,076,081/x - Step 3: Cross multiply
27,329,111,708,686x = 37,715,261,509,746 × 14,997,532,076,081 - Step 4: Simplify right side
27,329,111,708,686x = 565,635,844,250,198,752,507,199,488 - Step 5: Solve for x
x = 565,635,844,250,198,752,507,199,488/27,329,111,708,686 - Step 6: Final answer
x = 20,697,190,976,405.68
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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.