Finding the Fourth Proportional to 299,205,645,738.91, 412,904,189,304.84 and 162,028,708,742.05
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Solution
The fourth proportional to 299,205,645,738.91, 412,904,189,304.84 and 162,028,708,742.05 is: 223,599,833,693.06
Step by Step Solution
- Step 1: Write the proportion equation
299,205,645,738.91 : 412,904,189,304.84 = 162,028,708,742.05 : x - Step 2: Convert to fraction form
299,205,645,738.91/412,904,189,304.84 = 162,028,708,742.05/x - Step 3: Cross multiply
299,205,645,738.91x = 412,904,189,304.84 × 162,028,708,742.05 - Step 4: Simplify right side
299,205,645,738.91x = 66,902,332,627,246,192,263,168 - Step 5: Solve for x
x = 66,902,332,627,246,192,263,168/299,205,645,738.91 - Step 6: Final answer
x = 223,599,833,693.06
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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.