Finding the Fourth Proportional to 1,264,256,350,081.30, 1,744,669,363,886.70 and 686,192,867,340.49
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Solution
The fourth proportional to 1,264,256,350,081.30, 1,744,669,363,886.70 and 686,192,867,340.49 is: 946,943,769,188.53
Step by Step Solution
- Step 1: Write the proportion equation
1,264,256,350,081.30 : 1,744,669,363,886.70 = 686,192,867,340.49 : x - Step 2: Convert to fraction form
1,264,256,350,081.30/1,744,669,363,886.70 = 686,192,867,340.49/x - Step 3: Cross multiply
1,264,256,350,081.30x = 1,744,669,363,886.70 × 686,192,867,340.49 - Step 4: Simplify right side
1,264,256,350,081.30x = 1,197,179,673,366,523,333,836,800 - Step 5: Solve for x
x = 1,197,179,673,366,523,333,836,800/1,264,256,350,081.30 - Step 6: Final answer
x = 946,943,769,188.53
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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.