Finding the Fourth Proportional to 299,205,645,736.91, 412,904,189,302.08 and 162,028,708,740.05
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Solution
The fourth proportional to 299,205,645,736.91, 412,904,189,302.08 and 162,028,708,740.05 is: 223,599,833,690.30
Step by Step Solution
- Step 1: Write the proportion equation
299,205,645,736.91 : 412,904,189,302.08 = 162,028,708,740.05 : x - Step 2: Convert to fraction form
299,205,645,736.91/412,904,189,302.08 = 162,028,708,740.05/x - Step 3: Cross multiply
299,205,645,736.91x = 412,904,189,302.08 × 162,028,708,740.05 - Step 4: Simplify right side
299,205,645,736.91x = 66,902,332,625,973,187,444,736 - Step 5: Solve for x
x = 66,902,332,625,973,187,444,736/299,205,645,736.91 - Step 6: Final answer
x = 223,599,833,690.30
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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.