Finding the Fourth Proportional to 490,613,306,739.20, 735,919,960,108.80 and 490,613,306,739.20
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Solution
The fourth proportional to 490,613,306,739.20, 735,919,960,108.80 and 490,613,306,739.20 is: 735,919,960,108.80
Step by Step Solution
- Step 1: Write the proportion equation
490,613,306,739.20 : 735,919,960,108.80 = 490,613,306,739.20 : x - Step 2: Convert to fraction form
490,613,306,739.20/735,919,960,108.80 = 490,613,306,739.20/x - Step 3: Cross multiply
490,613,306,739.20x = 735,919,960,108.80 × 490,613,306,739.20 - Step 4: Simplify right side
490,613,306,739.20x = 361,052,125,124,358,549,012,480 - Step 5: Solve for x
x = 361,052,125,124,358,549,012,480/490,613,306,739.20 - Step 6: Final answer
x = 735,919,960,108.80
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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.