Finding the Fourth Proportional to 232,268,376,528.02, 320,487,809,409.99 and 129,382,935,820.21
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Solution
The fourth proportional to 232,268,376,528.02, 320,487,809,409.99 and 129,382,935,820.21 is: 178,524,749,240.03
Step by Step Solution
- Step 1: Write the proportion equation
232,268,376,528.02 : 320,487,809,409.99 = 129,382,935,820.21 : x - Step 2: Convert to fraction form
232,268,376,528.02/320,487,809,409.99 = 129,382,935,820.21/x - Step 3: Cross multiply
232,268,376,528.02x = 320,487,809,409.99 × 129,382,935,820.21 - Step 4: Simplify right side
232,268,376,528.02x = 41,465,653,676,052,429,406,208 - Step 5: Solve for x
x = 41,465,653,676,052,429,406,208/232,268,376,528.02 - Step 6: Final answer
x = 178,524,749,240.03
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1.5x scale
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.