Finding the Fourth Proportional to 3,927,631,684,649, 5,419,345,629,243.40 and 2,193,174,369,177.20
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Solution
The fourth proportional to 3,927,631,684,649, 5,419,345,629,243.40 and 2,193,174,369,177.20 is: 3,026,141,676,731.91
Step by Step Solution
- Step 1: Write the proportion equation
3,927,631,684,649 : 5,419,345,629,243.40 = 2,193,174,369,177.20 : x - Step 2: Convert to fraction form
3,927,631,684,649/5,419,345,629,243.40 = 2,193,174,369,177.20/x - Step 3: Cross multiply
3,927,631,684,649x = 5,419,345,629,243.40 × 2,193,174,369,177.20 - Step 4: Simplify right side
3,927,631,684,649x = 11,885,569,931,769,111,247,847,424 - Step 5: Solve for x
x = 11,885,569,931,769,111,247,847,424/3,927,631,684,649 - Step 6: Final answer
x = 3,026,141,676,731.91
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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.