Finding the Fourth Proportional to 136,279,215,582.87, 204,236,098,983.98 and 106,062,841,420.84
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Solution
The fourth proportional to 136,279,215,582.87, 204,236,098,983.98 and 106,062,841,420.84 is: 158,952,052,125.49
Step by Step Solution
- Step 1: Write the proportion equation
136,279,215,582.87 : 204,236,098,983.98 = 106,062,841,420.84 : x - Step 2: Convert to fraction form
136,279,215,582.87/204,236,098,983.98 = 106,062,841,420.84/x - Step 3: Cross multiply
136,279,215,582.87x = 204,236,098,983.98 × 106,062,841,420.84 - Step 4: Simplify right side
136,279,215,582.87x = 21,661,860,978,948,852,154,368 - Step 5: Solve for x
x = 21,661,860,978,948,852,154,368/136,279,215,582.87 - Step 6: Final answer
x = 158,952,052,125.49
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1.5x scale
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.