Finding the Fourth Proportional to 765,144,808,227.61, 1,147,878,402,413.60 and 248,205,948,203.70
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Solution
The fourth proportional to 765,144,808,227.61, 1,147,878,402,413.60 and 248,205,948,203.70 is: 372,361,210,884.49
Step by Step Solution
- Step 1: Write the proportion equation
765,144,808,227.61 : 1,147,878,402,413.60 = 248,205,948,203.70 : x - Step 2: Convert to fraction form
765,144,808,227.61/1,147,878,402,413.60 = 248,205,948,203.70/x - Step 3: Cross multiply
765,144,808,227.61x = 1,147,878,402,413.60 × 248,205,948,203.70 - Step 4: Simplify right side
765,144,808,227.61x = 284,910,247,293,615,935,062,016 - Step 5: Solve for x
x = 284,910,247,293,615,935,062,016/765,144,808,227.61 - Step 6: Final answer
x = 372,361,210,884.49
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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.