Finding the Fourth Proportional to 394,024,624,675.08, 590,884,135,344.85 and 135,526,225,068.04
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Solution
The fourth proportional to 394,024,624,675.08, 590,884,135,344.85 and 135,526,225,068.04 is: 203,236,780,904.03
Step by Step Solution
- Step 1: Write the proportion equation
394,024,624,675.08 : 590,884,135,344.85 = 135,526,225,068.04 : x - Step 2: Convert to fraction form
394,024,624,675.08/590,884,135,344.85 = 135,526,225,068.04/x - Step 3: Cross multiply
394,024,624,675.08x = 590,884,135,344.85 × 135,526,225,068.04 - Step 4: Simplify right side
394,024,624,675.08x = 80,080,296,315,880,336,261,120 - Step 5: Solve for x
x = 80,080,296,315,880,336,261,120/394,024,624,675.08 - Step 6: Final answer
x = 203,236,780,904.03
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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.