Finding the Fourth Proportional to 364,349,326,839.06, 502,817,876,249.13 and 201,768,972,745.14
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Solution
The fourth proportional to 364,349,326,839.06, 502,817,876,249.13 and 201,768,972,745.14 is: 278,449,934,980.93
Step by Step Solution
- Step 1: Write the proportion equation
364,349,326,839.06 : 502,817,876,249.13 = 201,768,972,745.14 : x - Step 2: Convert to fraction form
364,349,326,839.06/502,817,876,249.13 = 201,768,972,745.14/x - Step 3: Cross multiply
364,349,326,839.06x = 502,817,876,249.13 × 201,768,972,745.14 - Step 4: Simplify right side
364,349,326,839.06x = 101,453,046,368,679,896,285,184 - Step 5: Solve for x
x = 101,453,046,368,679,896,285,184/364,349,326,839.06 - Step 6: Final answer
x = 278,449,934,980.93
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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.