Finding the Fourth Proportional to 46,541,278,657,110, 64,216,311,955,557 and 27,787,230,375,656
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Solution
The fourth proportional to 46,541,278,657,110, 64,216,311,955,557 and 27,787,230,375,656 is: 38,340,017,843,739.62
Step by Step Solution
- Step 1: Write the proportion equation
46,541,278,657,110 : 64,216,311,955,557 = 27,787,230,375,656 : x - Step 2: Convert to fraction form
46,541,278,657,110/64,216,311,955,557 = 27,787,230,375,656/x - Step 3: Cross multiply
46,541,278,657,110x = 64,216,311,955,557 × 27,787,230,375,656 - Step 4: Simplify right side
46,541,278,657,110x = 1,784,393,454,184,055,121,515,642,880 - Step 5: Solve for x
x = 1,784,393,454,184,055,121,515,642,880/46,541,278,657,110 - Step 6: Final answer
x = 38,340,017,843,739.62
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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.