Finding the Fourth Proportional to 238,807,608,678.98, 358,261,728,539.42 and 77,446,433,437.93
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Solution
The fourth proportional to 238,807,608,678.98, 358,261,728,539.42 and 77,446,433,437.93 is: 116,185,967,717.56
Step by Step Solution
- Step 1: Write the proportion equation
238,807,608,678.98 : 358,261,728,539.42 = 77,446,433,437.93 : x - Step 2: Convert to fraction form
238,807,608,678.98/358,261,728,539.42 = 77,446,433,437.93/x - Step 3: Cross multiply
238,807,608,678.98x = 358,261,728,539.42 × 77,446,433,437.93 - Step 4: Simplify right side
238,807,608,678.98x = 27,746,093,112,684,147,900,416 - Step 5: Solve for x
x = 27,746,093,112,684,147,900,416/238,807,608,678.98 - Step 6: Final answer
x = 116,185,967,717.56
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.