Finding the Fourth Proportional to 364,349,326,858.41, 502,817,876,275.92 and 201,768,972,764.55
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Solution
The fourth proportional to 364,349,326,858.41, 502,817,876,275.92 and 201,768,972,764.55 is: 278,449,935,007.76
Step by Step Solution
- Step 1: Write the proportion equation
364,349,326,858.41 : 502,817,876,275.92 = 201,768,972,764.55 : x - Step 2: Convert to fraction form
364,349,326,858.41/502,817,876,275.92 = 201,768,972,764.55/x - Step 3: Cross multiply
364,349,326,858.41x = 502,817,876,275.92 × 201,768,972,764.55 - Step 4: Simplify right side
364,349,326,858.41x = 101,453,046,383,844,972,822,528 - Step 5: Solve for x
x = 101,453,046,383,844,972,822,528/364,349,326,858.41 - Step 6: Final answer
x = 278,449,935,007.76
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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.