Finding the Fourth Proportional to 27,329,111,708,724, 37,715,261,509,796 and 14,997,532,076,118
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Solution
The fourth proportional to 27,329,111,708,724, 37,715,261,509,796 and 14,997,532,076,118 is: 20,697,190,976,455.40
Step by Step Solution
- Step 1: Write the proportion equation
27,329,111,708,724 : 37,715,261,509,796 = 14,997,532,076,118 : x - Step 2: Convert to fraction form
27,329,111,708,724/37,715,261,509,796 = 14,997,532,076,118/x - Step 3: Cross multiply
27,329,111,708,724x = 37,715,261,509,796 × 14,997,532,076,118 - Step 4: Simplify right side
27,329,111,708,724x = 565,635,844,252,344,105,851,420,672 - Step 5: Solve for x
x = 565,635,844,252,344,105,851,420,672/27,329,111,708,724 - Step 6: Final answer
x = 20,697,190,976,455.40
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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.