Finding the Fourth Proportional to 40,832,914,025,438, 56,349,591,128,870 and 22,082,509,085,418
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Solution
The fourth proportional to 40,832,914,025,438, 56,349,591,128,870 and 22,082,509,085,418 is: 30,473,954,351,816.89
Step by Step Solution
- Step 1: Write the proportion equation
40,832,914,025,438 : 56,349,591,128,870 = 22,082,509,085,418 : x - Step 2: Convert to fraction form
40,832,914,025,438/56,349,591,128,870 = 22,082,509,085,418/x - Step 3: Cross multiply
40,832,914,025,438x = 56,349,591,128,870 × 22,082,509,085,418 - Step 4: Simplify right side
40,832,914,025,438x = 1,244,340,358,062,861,269,684,191,232 - Step 5: Solve for x
x = 1,244,340,358,062,861,269,684,191,232/40,832,914,025,438 - Step 6: Final answer
x = 30,473,954,351,816.89
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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.