Finding the Fourth Proportional to 698,670,331,301.70, 1,048,005,496,952.50 and 460,174,278,273.30
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Solution
The fourth proportional to 698,670,331,301.70, 1,048,005,496,952.50 and 460,174,278,273.30 is: 690,261,417,409.92
Step by Step Solution
- Step 1: Write the proportion equation
698,670,331,301.70 : 1,048,005,496,952.50 = 460,174,278,273.30 : x - Step 2: Convert to fraction form
698,670,331,301.70/1,048,005,496,952.50 = 460,174,278,273.30/x - Step 3: Cross multiply
698,670,331,301.70x = 1,048,005,496,952.50 × 460,174,278,273.30 - Step 4: Simplify right side
698,670,331,301.70x = 482,265,173,186,567,777,288,192 - Step 5: Solve for x
x = 482,265,173,186,567,777,288,192/698,670,331,301.70 - Step 6: Final answer
x = 690,261,417,409.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.