Finding the Fourth Proportional to 738,414,743.10, 1,019,326,108.24 and 460,093,776.99
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Solution
The fourth proportional to 738,414,743.10, 1,019,326,108.24 and 460,093,776.99 is: 635,124,912.53
Step by Step Solution
- Step 1: Write the proportion equation
738,414,743.10 : 1,019,326,108.24 = 460,093,776.99 : x - Step 2: Convert to fraction form
738,414,743.10/1,019,326,108.24 = 460,093,776.99/x - Step 3: Cross multiply
738,414,743.10x = 1,019,326,108.24 × 460,093,776.99 - Step 4: Simplify right side
738,414,743.10x = 468,985,599,124,659,200 - Step 5: Solve for x
x = 468,985,599,124,659,200/738,414,743.10 - Step 6: Final answer
x = 635,124,912.53
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1.5x scale
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.