Finding the Fourth Proportional to 759,759,173,717.25, 1,048,467,659,729.70 and 434,598,465,529.46
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Solution
The fourth proportional to 759,759,173,717.25, 1,048,467,659,729.70 and 434,598,465,529.46 is: 599,745,882,430.60
Step by Step Solution
- Step 1: Write the proportion equation
759,759,173,717.25 : 1,048,467,659,729.70 = 434,598,465,529.46 : x - Step 2: Convert to fraction form
759,759,173,717.25/1,048,467,659,729.70 = 434,598,465,529.46/x - Step 3: Cross multiply
759,759,173,717.25x = 1,048,467,659,729.70 × 434,598,465,529.46 - Step 4: Simplify right side
759,759,173,717.25x = 455,662,436,075,791,592,718,336 - Step 5: Solve for x
x = 455,662,436,075,791,592,718,336/759,759,173,717.25 - Step 6: Final answer
x = 599,745,882,430.60
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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.