Finding the Fourth Proportional to 1,179,170,135,999.20, 1,768,755,203,998.80 and 584,092,264,895.20
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Solution
The fourth proportional to 1,179,170,135,999.20, 1,768,755,203,998.80 and 584,092,264,895.20 is: 876,138,397,342.80
Step by Step Solution
- Step 1: Write the proportion equation
1,179,170,135,999.20 : 1,768,755,203,998.80 = 584,092,264,895.20 : x - Step 2: Convert to fraction form
1,179,170,135,999.20/1,768,755,203,998.80 = 584,092,264,895.20/x - Step 3: Cross multiply
1,179,170,135,999.20x = 1,768,755,203,998.80 × 584,092,264,895.20 - Step 4: Simplify right side
1,179,170,135,999.20x = 1,033,116,233,148,830,589,124,608 - Step 5: Solve for x
x = 1,033,116,233,148,830,589,124,608/1,179,170,135,999.20 - Step 6: Final answer
x = 876,138,397,342.80
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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.