Finding the Fourth Proportional to 419,940,657,701.01, 629,839,938,974.55 and 117,683,695,580.49
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Solution
The fourth proportional to 419,940,657,701.01, 629,839,938,974.55 and 117,683,695,580.49 is: 176,505,633,078.02
Step by Step Solution
- Step 1: Write the proportion equation
419,940,657,701.01 : 629,839,938,974.55 = 117,683,695,580.49 : x - Step 2: Convert to fraction form
419,940,657,701.01/629,839,938,974.55 = 117,683,695,580.49/x - Step 3: Cross multiply
419,940,657,701.01x = 629,839,938,974.55 × 117,683,695,580.49 - Step 4: Simplify right side
419,940,657,701.01x = 74,121,891,642,715,349,712,896 - Step 5: Solve for x
x = 74,121,891,642,715,349,712,896/419,940,657,701.01 - Step 6: Final answer
x = 176,505,633,078.02
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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.