Finding the Fourth Proportional to 135,690,229,708.07, 203,535,344,562.11 and 123,935,605,093.68
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Solution
The fourth proportional to 135,690,229,708.07, 203,535,344,562.11 and 123,935,605,093.68 is: 185,903,407,640.53
Step by Step Solution
- Step 1: Write the proportion equation
135,690,229,708.07 : 203,535,344,562.11 = 123,935,605,093.68 : x - Step 2: Convert to fraction form
135,690,229,708.07/203,535,344,562.11 = 123,935,605,093.68/x - Step 3: Cross multiply
135,690,229,708.07x = 203,535,344,562.11 × 123,935,605,093.68 - Step 4: Simplify right side
135,690,229,708.07x = 25,225,276,086,255,752,314,880 - Step 5: Solve for x
x = 25,225,276,086,255,752,314,880/135,690,229,708.07 - Step 6: Final answer
x = 185,903,407,640.53
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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.