Finding the Fourth Proportional to 408,355,273,866.06, 563,579,693,241.84 and 232,414,517,277.18
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Solution
The fourth proportional to 408,355,273,866.06, 563,579,693,241.84 and 232,414,517,277.18 is: 320,760,158,456.99
Step by Step Solution
- Step 1: Write the proportion equation
408,355,273,866.06 : 563,579,693,241.84 = 232,414,517,277.18 : x - Step 2: Convert to fraction form
408,355,273,866.06/563,579,693,241.84 = 232,414,517,277.18/x - Step 3: Cross multiply
408,355,273,866.06x = 563,579,693,241.84 × 232,414,517,277.18 - Step 4: Simplify right side
408,355,273,866.06x = 130,984,102,352,023,409,655,808 - Step 5: Solve for x
x = 130,984,102,352,023,409,655,808/408,355,273,866.06 - Step 6: Final answer
x = 320,760,158,456.99
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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.