Finding the Fourth Proportional to 408,355,273,824.84, 563,579,693,184.84 and 232,414,517,235.84
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Solution
The fourth proportional to 408,355,273,824.84, 563,579,693,184.84 and 232,414,517,235.84 is: 320,760,158,399.87
Step by Step Solution
- Step 1: Write the proportion equation
408,355,273,824.84 : 563,579,693,184.84 = 232,414,517,235.84 : x - Step 2: Convert to fraction form
408,355,273,824.84/563,579,693,184.84 = 232,414,517,235.84/x - Step 3: Cross multiply
408,355,273,824.84x = 563,579,693,184.84 × 232,414,517,235.84 - Step 4: Simplify right side
408,355,273,824.84x = 130,984,102,315,477,398,716,416 - Step 5: Solve for x
x = 130,984,102,315,477,398,716,416/408,355,273,824.84 - Step 6: Final answer
x = 320,760,158,399.87
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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.