Finding the Fourth Proportional to 294,534,845,488.15, 406,468,115,644.63 and 170,926,414,612.26
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Solution
The fourth proportional to 294,534,845,488.15, 406,468,115,644.63 and 170,926,414,612.26 is: 235,884,272,185.83
Step by Step Solution
- Step 1: Write the proportion equation
294,534,845,488.15 : 406,468,115,644.63 = 170,926,414,612.26 : x - Step 2: Convert to fraction form
294,534,845,488.15/406,468,115,644.63 = 170,926,414,612.26/x - Step 3: Cross multiply
294,534,845,488.15x = 406,468,115,644.63 × 170,926,414,612.26 - Step 4: Simplify right side
294,534,845,488.15x = 69,476,137,661,338,077,888,512 - Step 5: Solve for x
x = 69,476,137,661,338,077,888,512/294,534,845,488.15 - Step 6: Final answer
x = 235,884,272,185.83
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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.