Finding the Fourth Proportional to 440,626,717,341.52, 661,241,984,153.07 and 153,784,773,758.26
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Solution
The fourth proportional to 440,626,717,341.52, 661,241,984,153.07 and 153,784,773,758.26 is: 230,782,530,723.45
Step by Step Solution
- Step 1: Write the proportion equation
440,626,717,341.52 : 661,241,984,153.07 = 153,784,773,758.26 : x - Step 2: Convert to fraction form
440,626,717,341.52/661,241,984,153.07 = 153,784,773,758.26/x - Step 3: Cross multiply
440,626,717,341.52x = 661,241,984,153.07 × 153,784,773,758.26 - Step 4: Simplify right side
440,626,717,341.52x = 101,688,948,932,442,819,919,872 - Step 5: Solve for x
x = 101,688,948,932,442,819,919,872/440,626,717,341.52 - Step 6: Final answer
x = 230,782,530,723.45
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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.