Finding the Fourth Proportional to 299,205,645,737.91, 412,904,189,303.46 and 162,028,708,741.05
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Solution
The fourth proportional to 299,205,645,737.91, 412,904,189,303.46 and 162,028,708,741.05 is: 223,599,833,691.68
Step by Step Solution
- Step 1: Write the proportion equation
299,205,645,737.91 : 412,904,189,303.46 = 162,028,708,741.05 : x - Step 2: Convert to fraction form
299,205,645,737.91/412,904,189,303.46 = 162,028,708,741.05/x - Step 3: Cross multiply
299,205,645,737.91x = 412,904,189,303.46 × 162,028,708,741.05 - Step 4: Simplify right side
299,205,645,737.91x = 66,902,332,626,609,689,853,952 - Step 5: Solve for x
x = 66,902,332,626,609,689,853,952/299,205,645,737.91 - Step 6: Final answer
x = 223,599,833,691.68
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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.