Finding the Fourth Proportional to 408,355,273,804.98, 563,579,693,157.57 and 232,414,517,216.07
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Solution
The fourth proportional to 408,355,273,804.98, 563,579,693,157.57 and 232,414,517,216.07 is: 320,760,158,372.66
Step by Step Solution
- Step 1: Write the proportion equation
408,355,273,804.98 : 563,579,693,157.57 = 232,414,517,216.07 : x - Step 2: Convert to fraction form
408,355,273,804.98/563,579,693,157.57 = 232,414,517,216.07/x - Step 3: Cross multiply
408,355,273,804.98x = 563,579,693,157.57 × 232,414,517,216.07 - Step 4: Simplify right side
408,355,273,804.98x = 130,984,102,297,997,485,801,472 - Step 5: Solve for x
x = 130,984,102,297,997,485,801,472/408,355,273,804.98 - Step 6: Final answer
x = 320,760,158,372.66
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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.