Finding the Fourth Proportional to 382,188,662,390.97, 527,433,021,616.59 and 208,583,307,512.01
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Solution
The fourth proportional to 382,188,662,390.97, 527,433,021,616.59 and 208,583,307,512.01 is: 287,851,877,791.45
Step by Step Solution
- Step 1: Write the proportion equation
382,188,662,390.97 : 527,433,021,616.59 = 208,583,307,512.01 : x - Step 2: Convert to fraction form
382,188,662,390.97/527,433,021,616.59 = 208,583,307,512.01/x - Step 3: Cross multiply
382,188,662,390.97x = 527,433,021,616.59 × 208,583,307,512.01 - Step 4: Simplify right side
382,188,662,390.97x = 110,013,724,139,841,816,363,008 - Step 5: Solve for x
x = 110,013,724,139,841,816,363,008/382,188,662,390.97 - Step 6: Final answer
x = 287,851,877,791.45
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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.