Finding the Fourth Proportional to 2,708,551,814,800.30, 3,737,802,114,552.30 and 1,490,574,438,726
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Solution
The fourth proportional to 2,708,551,814,800.30, 3,737,802,114,552.30 and 1,490,574,438,726 is: 2,056,993,061,208.41
Step by Step Solution
- Step 1: Write the proportion equation
2,708,551,814,800.30 : 3,737,802,114,552.30 = 1,490,574,438,726 : x - Step 2: Convert to fraction form
2,708,551,814,800.30/3,737,802,114,552.30 = 1,490,574,438,726/x - Step 3: Cross multiply
2,708,551,814,800.30x = 3,737,802,114,552.30 × 1,490,574,438,726 - Step 4: Simplify right side
2,708,551,814,800.30x = 5,571,472,288,967,649,898,004,480 - Step 5: Solve for x
x = 5,571,472,288,967,649,898,004,480/2,708,551,814,800.30 - Step 6: Final answer
x = 2,056,993,061,208.41
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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.