Finding the Fourth Proportional to 27,297,584,945,168, 37,670,658,131,876 and 14,965,299,231,477
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Solution
The fourth proportional to 27,297,584,945,168, 37,670,658,131,876 and 14,965,299,231,477 is: 20,652,107,954,699.77
Step by Step Solution
- Step 1: Write the proportion equation
27,297,584,945,168 : 37,670,658,131,876 = 14,965,299,231,477 : x - Step 2: Convert to fraction form
27,297,584,945,168/37,670,658,131,876 = 14,965,299,231,477/x - Step 3: Cross multiply
27,297,584,945,168x = 37,670,658,131,876 × 14,965,299,231,477 - Step 4: Simplify right side
27,297,584,945,168x = 563,752,671,190,196,704,881,147,904 - Step 5: Solve for x
x = 563,752,671,190,196,704,881,147,904/27,297,584,945,168 - Step 6: Final answer
x = 20,652,107,954,699.77
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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.