Finding the Fourth Proportional to 406,370,160.03, 560,837,342.55 and 227,802,277.75
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Solution
The fourth proportional to 406,370,160.03, 560,837,342.55 and 227,802,277.75 is: 314,393,222.35
Step by Step Solution
- Step 1: Write the proportion equation
406,370,160.03 : 560,837,342.55 = 227,802,277.75 : x - Step 2: Convert to fraction form
406,370,160.03/560,837,342.55 = 227,802,277.75/x - Step 3: Cross multiply
406,370,160.03x = 560,837,342.55 × 227,802,277.75 - Step 4: Simplify right side
406,370,160.03x = 127,760,024,078,744,896 - Step 5: Solve for x
x = 127,760,024,078,744,896/406,370,160.03 - Step 6: Final answer
x = 314,393,222.35
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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.