Finding the Fourth Proportional to 270,574,271,035.45, 373,392,738,755.93 and 148,646,903,944.62
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Solution
The fourth proportional to 270,574,271,035.45, 373,392,738,755.93 and 148,646,903,944.62 is: 205,132,861,890.62
Step by Step Solution
- Step 1: Write the proportion equation
270,574,271,035.45 : 373,392,738,755.93 = 148,646,903,944.62 : x - Step 2: Convert to fraction form
270,574,271,035.45/373,392,738,755.93 = 148,646,903,944.62/x - Step 3: Cross multiply
270,574,271,035.45x = 373,392,738,755.93 × 148,646,903,944.62 - Step 4: Simplify right side
270,574,271,035.45x = 55,503,674,571,471,311,601,664 - Step 5: Solve for x
x = 55,503,674,571,471,311,601,664/270,574,271,035.45 - Step 6: Final answer
x = 205,132,861,890.62
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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.