Finding the Fourth Proportional to 49,911,726,669,746, 68,878,263,832,906 and 27,689,025,094,284
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Solution
The fourth proportional to 49,911,726,669,746, 68,878,263,832,906 and 27,689,025,094,284 is: 38,210,899,581,562.28
Step by Step Solution
- Step 1: Write the proportion equation
49,911,726,669,746 : 68,878,263,832,906 = 27,689,025,094,284 : x - Step 2: Convert to fraction form
49,911,726,669,746/68,878,263,832,906 = 27,689,025,094,284/x - Step 3: Cross multiply
49,911,726,669,746x = 68,878,263,832,906 × 27,689,025,094,284 - Step 4: Simplify right side
49,911,726,669,746x = 1,907,171,975,720,048,395,758,338,048 - Step 5: Solve for x
x = 1,907,171,975,720,048,395,758,338,048/49,911,726,669,746 - Step 6: Final answer
x = 38,210,899,581,562.28
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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.