Finding the Fourth Proportional to 833,048,922,624.27, 1,149,515,595,283.70 and 467,167,832,390.28
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Solution
The fourth proportional to 833,048,922,624.27, 1,149,515,595,283.70 and 467,167,832,390.28 is: 644,640,061,781.49
Step by Step Solution
- Step 1: Write the proportion equation
833,048,922,624.27 : 1,149,515,595,283.70 = 467,167,832,390.28 : x - Step 2: Convert to fraction form
833,048,922,624.27/1,149,515,595,283.70 = 467,167,832,390.28/x - Step 3: Cross multiply
833,048,922,624.27x = 1,149,515,595,283.70 × 467,167,832,390.28 - Step 4: Simplify right side
833,048,922,624.27x = 537,016,708,947,508,493,025,280 - Step 5: Solve for x
x = 537,016,708,947,508,493,025,280/833,048,922,624.27 - Step 6: Final answer
x = 644,640,061,781.49
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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.