Finding the Fourth Proportional to 413,001,781.20, 569,924,998.20 and 224,826,163.02
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Solution
The fourth proportional to 413,001,781.20, 569,924,998.20 and 224,826,163.02 is: 310,250,600.33
Step by Step Solution
- Step 1: Write the proportion equation
413,001,781.20 : 569,924,998.20 = 224,826,163.02 : x - Step 2: Convert to fraction form
413,001,781.20/569,924,998.20 = 224,826,163.02/x - Step 3: Cross multiply
413,001,781.20x = 569,924,998.20 × 224,826,163.02 - Step 4: Simplify right side
413,001,781.20x = 128,134,050,554,486,416 - Step 5: Solve for x
x = 128,134,050,554,486,416/413,001,781.20 - Step 6: Final answer
x = 310,250,600.33
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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.