Finding the Fourth Proportional to 413,579,631.84, 570,738,167.28 and 227,940,204.48
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Solution
The fourth proportional to 413,579,631.84, 570,738,167.28 and 227,940,204.48 is: 314,556,531.65
Step by Step Solution
- Step 1: Write the proportion equation
413,579,631.84 : 570,738,167.28 = 227,940,204.48 : x - Step 2: Convert to fraction form
413,579,631.84/570,738,167.28 = 227,940,204.48/x - Step 3: Cross multiply
413,579,631.84x = 570,738,167.28 × 227,940,204.48 - Step 4: Simplify right side
413,579,631.84x = 130,094,174,554,343,632 - Step 5: Solve for x
x = 130,094,174,554,343,632/413,579,631.84 - Step 6: Final answer
x = 314,556,531.65
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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.