Finding the Fourth Proportional to 419,940,657,684.52, 629,839,938,949.84 and 117,683,695,564.09
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Solution
The fourth proportional to 419,940,657,684.52, 629,839,938,949.84 and 117,683,695,564.09 is: 176,505,633,053.43
Step by Step Solution
- Step 1: Write the proportion equation
419,940,657,684.52 : 629,839,938,949.84 = 117,683,695,564.09 : x - Step 2: Convert to fraction form
419,940,657,684.52/629,839,938,949.84 = 117,683,695,564.09/x - Step 3: Cross multiply
419,940,657,684.52x = 629,839,938,949.84 × 117,683,695,564.09 - Step 4: Simplify right side
419,940,657,684.52x = 74,121,891,629,477,992,071,168 - Step 5: Solve for x
x = 74,121,891,629,477,992,071,168/419,940,657,684.52 - Step 6: Final answer
x = 176,505,633,053.43
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.