Finding the Fourth Proportional to 37,672,935,853,168, 51,998,324,476,048 and 24,536,661,584,258
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Solution
The fourth proportional to 37,672,935,853,168, 51,998,324,476,048 and 24,536,661,584,258 is: 33,866,893,081,812.71
Step by Step Solution
- Step 1: Write the proportion equation
37,672,935,853,168 : 51,998,324,476,048 = 24,536,661,584,258 : x - Step 2: Convert to fraction form
37,672,935,853,168/51,998,324,476,048 = 24,536,661,584,258/x - Step 3: Cross multiply
37,672,935,853,168x = 51,998,324,476,048 × 24,536,661,584,258 - Step 4: Simplify right side
37,672,935,853,168x = 1,275,865,290,617,229,433,540,444,160 - Step 5: Solve for x
x = 1,275,865,290,617,229,433,540,444,160/37,672,935,853,168 - Step 6: Final answer
x = 33,866,893,081,812.71
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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.