Finding the Fourth Proportional to 3,979,904,762,988, 5,970,454,060,260.80 and 1,397,872,174,338.10
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Solution
The fourth proportional to 3,979,904,762,988, 5,970,454,060,260.80 and 1,397,872,174,338.10 is: 2,097,017,917,769.62
Step by Step Solution
- Step 1: Write the proportion equation
3,979,904,762,988 : 5,970,454,060,260.80 = 1,397,872,174,338.10 : x - Step 2: Convert to fraction form
3,979,904,762,988/5,970,454,060,260.80 = 1,397,872,174,338.10/x - Step 3: Cross multiply
3,979,904,762,988x = 5,970,454,060,260.80 × 1,397,872,174,338.10 - Step 4: Simplify right side
3,979,904,762,988x = 8,345,931,599,002,502,443,302,912 - Step 5: Solve for x
x = 8,345,931,599,002,502,443,302,912/3,979,904,762,988 - Step 6: Final answer
x = 2,097,017,917,769.62
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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.