Finding the Fourth Proportional to 27,338,575,695,614, 37,727,262,381,506 and 14,838,308,313,265
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Solution
The fourth proportional to 27,338,575,695,614, 37,727,262,381,506 and 14,838,308,313,265 is: 20,476,880,627,034.35
Step by Step Solution
- Step 1: Write the proportion equation
27,338,575,695,614 : 37,727,262,381,506 = 14,838,308,313,265 : x - Step 2: Convert to fraction form
27,338,575,695,614/37,727,262,381,506 = 14,838,308,313,265/x - Step 3: Cross multiply
27,338,575,695,614x = 37,727,262,381,506 × 14,838,308,313,265 - Step 4: Simplify right side
27,338,575,695,614x = 559,808,751,032,230,391,186,456,576 - Step 5: Solve for x
x = 559,808,751,032,230,391,186,456,576/27,338,575,695,614 - Step 6: Final answer
x = 20,476,880,627,034.35
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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.