Finding the Fourth Proportional to 4,852,511,808,840, 6,696,676,794,665.40 and 2,687,218,695,818.80
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Solution
The fourth proportional to 4,852,511,808,840, 6,696,676,794,665.40 and 2,687,218,695,818.80 is: 3,708,478,369,840.92
Step by Step Solution
- Step 1: Write the proportion equation
4,852,511,808,840 : 6,696,676,794,665.40 = 2,687,218,695,818.80 : x - Step 2: Convert to fraction form
4,852,511,808,840/6,696,676,794,665.40 = 2,687,218,695,818.80/x - Step 3: Cross multiply
4,852,511,808,840x = 6,696,676,794,665.40 × 2,687,218,695,818.80 - Step 4: Simplify right side
4,852,511,808,840x = 17,995,435,082,480,777,844,228,096 - Step 5: Solve for x
x = 17,995,435,082,480,777,844,228,096/4,852,511,808,840 - Step 6: Final answer
x = 3,708,478,369,840.92
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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.