Finding the Fourth Proportional to 207,062,972,413.60, 310,594,458,620.40 and 106,643,581,664.80
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Solution
The fourth proportional to 207,062,972,413.60, 310,594,458,620.40 and 106,643,581,664.80 is: 159,965,372,497.20
Step by Step Solution
- Step 1: Write the proportion equation
207,062,972,413.60 : 310,594,458,620.40 = 106,643,581,664.80 : x - Step 2: Convert to fraction form
207,062,972,413.60/310,594,458,620.40 = 106,643,581,664.80/x - Step 3: Cross multiply
207,062,972,413.60x = 310,594,458,620.40 × 106,643,581,664.80 - Step 4: Simplify right side
207,062,972,413.60x = 33,122,905,512,518,975,750,144 - Step 5: Solve for x
x = 33,122,905,512,518,975,750,144/207,062,972,413.60 - Step 6: Final answer
x = 159,965,372,497.20
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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.