Finding the Fourth Proportional to 27,177,204,604,289, 37,504,540,919,402 and 14,676,933,441,692
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Solution
The fourth proportional to 27,177,204,604,289, 37,504,540,919,402 and 14,676,933,441,692 is: 20,254,167,374,830.27
Step by Step Solution
- Step 1: Write the proportion equation
27,177,204,604,289 : 37,504,540,919,402 = 14,676,933,441,692 : x - Step 2: Convert to fraction form
27,177,204,604,289/37,504,540,919,402 = 14,676,933,441,692/x - Step 3: Cross multiply
27,177,204,604,289x = 37,504,540,919,402 × 14,676,933,441,692 - Step 4: Simplify right side
27,177,204,604,289x = 550,451,650,835,277,241,997,328,384 - Step 5: Solve for x
x = 550,451,650,835,277,241,997,328,384/27,177,204,604,289 - Step 6: Final answer
x = 20,254,167,374,830.27
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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.