Finding the Fourth Proportional to 408,355,273,804.98, 563,579,693,157.56 and 232,414,517,216.08
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Solution
The fourth proportional to 408,355,273,804.98, 563,579,693,157.56 and 232,414,517,216.08 is: 320,760,158,372.67
Step by Step Solution
- Step 1: Write the proportion equation
408,355,273,804.98 : 563,579,693,157.56 = 232,414,517,216.08 : x - Step 2: Convert to fraction form
408,355,273,804.98/563,579,693,157.56 = 232,414,517,216.08/x - Step 3: Cross multiply
408,355,273,804.98x = 563,579,693,157.56 × 232,414,517,216.08 - Step 4: Simplify right side
408,355,273,804.98x = 130,984,102,298,000,824,467,456 - Step 5: Solve for x
x = 130,984,102,298,000,824,467,456/408,355,273,804.98 - Step 6: Final answer
x = 320,760,158,372.67
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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.