Finding the Fourth Proportional to 27,338,575,695,622, 37,727,262,381,517 and 14,838,308,313,272
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Solution
The fourth proportional to 27,338,575,695,622, 37,727,262,381,517 and 14,838,308,313,272 is: 20,476,880,627,043.98
Step by Step Solution
- Step 1: Write the proportion equation
27,338,575,695,622 : 37,727,262,381,517 = 14,838,308,313,272 : x - Step 2: Convert to fraction form
27,338,575,695,622/37,727,262,381,517 = 14,838,308,313,272/x - Step 3: Cross multiply
27,338,575,695,622x = 37,727,262,381,517 × 14,838,308,313,272 - Step 4: Simplify right side
27,338,575,695,622x = 559,808,751,032,657,688,892,801,024 - Step 5: Solve for x
x = 559,808,751,032,657,688,892,801,024/27,338,575,695,622 - Step 6: Final answer
x = 20,476,880,627,043.98
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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.