Finding the Fourth Proportional to 20,165,692,534.93, 27,831,095,960.26 and 11,477,260,110.78
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Solution
The fourth proportional to 20,165,692,534.93, 27,831,095,960.26 and 11,477,260,110.78 is: 15,840,007,822.73
Step by Step Solution
- Step 1: Write the proportion equation
20,165,692,534.93 : 27,831,095,960.26 = 11,477,260,110.78 : x - Step 2: Convert to fraction form
20,165,692,534.93/27,831,095,960.26 = 11,477,260,110.78/x - Step 3: Cross multiply
20,165,692,534.93x = 27,831,095,960.26 × 11,477,260,110.78 - Step 4: Simplify right side
20,165,692,534.93x = 319,424,727,503,982,493,696 - Step 5: Solve for x
x = 319,424,727,503,982,493,696/20,165,692,534.93 - Step 6: Final answer
x = 15,840,007,822.73
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1.5x scale
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.