Finding the Fourth Proportional to 121,380,864,998.40, 182,071,297,497.60 and 51,590,058,163.20
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Solution
The fourth proportional to 121,380,864,998.40, 182,071,297,497.60 and 51,590,058,163.20 is: 77,385,087,244.80
Step by Step Solution
- Step 1: Write the proportion equation
121,380,864,998.40 : 182,071,297,497.60 = 51,590,058,163.20 : x - Step 2: Convert to fraction form
121,380,864,998.40/182,071,297,497.60 = 51,590,058,163.20/x - Step 3: Cross multiply
121,380,864,998.40x = 182,071,297,497.60 × 51,590,058,163.20 - Step 4: Simplify right side
121,380,864,998.40x = 9,393,068,827,750,474,711,040 - Step 5: Solve for x
x = 9,393,068,827,750,474,711,040/121,380,864,998.40 - Step 6: Final answer
x = 77,385,087,244.80
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1.5x scale
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.