Finding the Fourth Proportional to 2,849,628,536,420, 3,932,489,914,232.20 and 1,548,985,703,671.70
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Solution
The fourth proportional to 2,849,628,536,420, 3,932,489,914,232.20 and 1,548,985,703,671.70 is: 2,137,601,648,470.10
Step by Step Solution
- Step 1: Write the proportion equation
2,849,628,536,420 : 3,932,489,914,232.20 = 1,548,985,703,671.70 : x - Step 2: Convert to fraction form
2,849,628,536,420/3,932,489,914,232.20 = 1,548,985,703,671.70/x - Step 3: Cross multiply
2,849,628,536,420x = 3,932,489,914,232.20 × 1,548,985,703,671.70 - Step 4: Simplify right side
2,849,628,536,420x = 6,091,370,656,978,828,078,874,624 - Step 5: Solve for x
x = 6,091,370,656,978,828,078,874,624/2,849,628,536,420 - Step 6: Final answer
x = 2,137,601,648,470.10
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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.