Finding the Fourth Proportional to 204,014,437,198.29, 281,630,212,837.17 and 131,791,724,774.10
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Solution
The fourth proportional to 204,014,437,198.29, 281,630,212,837.17 and 131,791,724,774.10 is: 181,930,906,498.70
Step by Step Solution
- Step 1: Write the proportion equation
204,014,437,198.29 : 281,630,212,837.17 = 131,791,724,774.10 : x - Step 2: Convert to fraction form
204,014,437,198.29/281,630,212,837.17 = 131,791,724,774.10/x - Step 3: Cross multiply
204,014,437,198.29x = 281,630,212,837.17 × 131,791,724,774.10 - Step 4: Simplify right side
204,014,437,198.29x = 37,116,531,498,307,513,483,264 - Step 5: Solve for x
x = 37,116,531,498,307,513,483,264/204,014,437,198.29 - Step 6: Final answer
x = 181,930,906,498.70
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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.