Finding the Fourth Proportional to 193,043,342,440.80, 266,399,856,052.20 and 106,235,912,166.55
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Solution
The fourth proportional to 193,043,342,440.80, 266,399,856,052.20 and 106,235,912,166.55 is: 146,605,582,719.96
Step by Step Solution
- Step 1: Write the proportion equation
193,043,342,440.80 : 266,399,856,052.20 = 106,235,912,166.55 : x - Step 2: Convert to fraction form
193,043,342,440.80/266,399,856,052.20 = 106,235,912,166.55/x - Step 3: Cross multiply
193,043,342,440.80x = 266,399,856,052.20 × 106,235,912,166.55 - Step 4: Simplify right side
193,043,342,440.80x = 28,301,231,708,743,084,802,048 - Step 5: Solve for x
x = 28,301,231,708,743,084,802,048/193,043,342,440.80 - Step 6: Final answer
x = 146,605,582,719.96
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1.5x scale
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.