Finding the Fourth Proportional to 726,025,727.64, 1,002,000,208.50 and 412,806,873
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Solution
The fourth proportional to 726,025,727.64, 1,002,000,208.50 and 412,806,873 is: 569,721,646.31
Step by Step Solution
- Step 1: Write the proportion equation
726,025,727.64 : 1,002,000,208.50 = 412,806,873 : x - Step 2: Convert to fraction form
726,025,727.64/1,002,000,208.50 = 412,806,873/x - Step 3: Cross multiply
726,025,727.64x = 1,002,000,208.50 × 412,806,873 - Step 4: Simplify right side
726,025,727.64x = 413,632,572,816,233,024 - Step 5: Solve for x
x = 413,632,572,816,233,024/726,025,727.64 - Step 6: Final answer
x = 569,721,646.31
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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.