Finding the Fourth Proportional to 1,618,315,663,293.30, 2,426,679,160,862.70 and 800,543,560,678.80
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Solution
The fourth proportional to 1,618,315,663,293.30, 2,426,679,160,862.70 and 800,543,560,678.80 is: 1,200,422,402,208.43
Step by Step Solution
- Step 1: Write the proportion equation
1,618,315,663,293.30 : 2,426,679,160,862.70 = 800,543,560,678.80 : x - Step 2: Convert to fraction form
1,618,315,663,293.30/2,426,679,160,862.70 = 800,543,560,678.80/x - Step 3: Cross multiply
1,618,315,663,293.30x = 2,426,679,160,862.70 × 800,543,560,678.80 - Step 4: Simplify right side
1,618,315,663,293.30x = 1,942,662,376,062,068,688,158,720 - Step 5: Solve for x
x = 1,942,662,376,062,068,688,158,720/1,618,315,663,293.30 - Step 6: Final answer
x = 1,200,422,402,208.43
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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.