Finding the Fourth Proportional to 272,629,203,414.68, 408,943,805,122.02 and 272,629,203,414.68
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Solution
The fourth proportional to 272,629,203,414.68, 408,943,805,122.02 and 272,629,203,414.68 is: 408,943,805,122.02
Step by Step Solution
- Step 1: Write the proportion equation
272,629,203,414.68 : 408,943,805,122.02 = 272,629,203,414.68 : x - Step 2: Convert to fraction form
272,629,203,414.68/408,943,805,122.02 = 272,629,203,414.68/x - Step 3: Cross multiply
272,629,203,414.68x = 408,943,805,122.02 × 272,629,203,414.68 - Step 4: Simplify right side
272,629,203,414.68x = 111,490,023,831,784,445,181,952 - Step 5: Solve for x
x = 111,490,023,831,784,445,181,952/272,629,203,414.68 - Step 6: Final answer
x = 408,943,805,122.02
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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.