Finding the Fourth Proportional to 811,541,690,846.91, 1,119,949,403,628.30 and 477,471,269,743.47
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Solution
The fourth proportional to 811,541,690,846.91, 1,119,949,403,628.30 and 477,471,269,743.47 is: 658,923,219,632.50
Step by Step Solution
- Step 1: Write the proportion equation
811,541,690,846.91 : 1,119,949,403,628.30 = 477,471,269,743.47 : x - Step 2: Convert to fraction form
811,541,690,846.91/1,119,949,403,628.30 = 477,471,269,743.47/x - Step 3: Cross multiply
811,541,690,846.91x = 1,119,949,403,628.30 × 477,471,269,743.47 - Step 4: Simplify right side
811,541,690,846.91x = 534,743,663,798,846,350,163,968 - Step 5: Solve for x
x = 534,743,663,798,846,350,163,968/811,541,690,846.91 - Step 6: Final answer
x = 658,923,219,632.50
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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.