Finding the Fourth Proportional to 27,338,575,695,624, 37,727,262,381,518 and 14,838,308,313,273
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Solution
The fourth proportional to 27,338,575,695,624, 37,727,262,381,518 and 14,838,308,313,273 is: 20,476,880,627,044.41
Step by Step Solution
- Step 1: Write the proportion equation
27,338,575,695,624 : 37,727,262,381,518 = 14,838,308,313,273 : x - Step 2: Convert to fraction form
27,338,575,695,624/37,727,262,381,518 = 14,838,308,313,273/x - Step 3: Cross multiply
27,338,575,695,624x = 37,727,262,381,518 × 14,838,308,313,273 - Step 4: Simplify right side
27,338,575,695,624x = 559,808,751,032,710,259,292,504,064 - Step 5: Solve for x
x = 559,808,751,032,710,259,292,504,064/27,338,575,695,624 - Step 6: Final answer
x = 20,476,880,627,044.41
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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.