Finding the Fourth Proportional to 272,629,203,413.18, 408,943,805,119.77 and 272,629,203,413.18
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Solution
The fourth proportional to 272,629,203,413.18, 408,943,805,119.77 and 272,629,203,413.18 is: 408,943,805,119.77
Step by Step Solution
- Step 1: Write the proportion equation
272,629,203,413.18 : 408,943,805,119.77 = 272,629,203,413.18 : x - Step 2: Convert to fraction form
272,629,203,413.18/408,943,805,119.77 = 272,629,203,413.18/x - Step 3: Cross multiply
272,629,203,413.18x = 408,943,805,119.77 × 272,629,203,413.18 - Step 4: Simplify right side
272,629,203,413.18x = 111,490,023,830,557,611,261,952 - Step 5: Solve for x
x = 111,490,023,830,557,611,261,952/272,629,203,413.18 - Step 6: Final answer
x = 408,943,805,119.77
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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.