Finding the Fourth Proportional to 49,911,726,669,762, 68,878,263,832,916 and 27,689,025,094,296
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Solution
The fourth proportional to 49,911,726,669,762, 68,878,263,832,916 and 27,689,025,094,296 is: 38,210,899,581,572.14
Step by Step Solution
- Step 1: Write the proportion equation
49,911,726,669,762 : 68,878,263,832,916 = 27,689,025,094,296 : x - Step 2: Convert to fraction form
49,911,726,669,762/68,878,263,832,916 = 27,689,025,094,296/x - Step 3: Cross multiply
49,911,726,669,762x = 68,878,263,832,916 × 27,689,025,094,296 - Step 4: Simplify right side
49,911,726,669,762x = 1,907,171,975,721,151,755,676,811,264 - Step 5: Solve for x
x = 1,907,171,975,721,151,755,676,811,264/49,911,726,669,762 - Step 6: Final answer
x = 38,210,899,581,572.14
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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.