Finding the Fourth Proportional to 1,480,524,356,784.10, 2,220,938,700,010.20 and 512,431,213,424.73
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Solution
The fourth proportional to 1,480,524,356,784.10, 2,220,938,700,010.20 and 512,431,213,424.73 is: 768,699,486,619.88
Step by Step Solution
- Step 1: Write the proportion equation
1,480,524,356,784.10 : 2,220,938,700,010.20 = 512,431,213,424.73 : x - Step 2: Convert to fraction form
1,480,524,356,784.10/2,220,938,700,010.20 = 512,431,213,424.73/x - Step 3: Cross multiply
1,480,524,356,784.10x = 2,220,938,700,010.20 × 512,431,213,424.73 - Step 4: Simplify right side
1,480,524,356,784.10x = 1,138,078,312,988,169,203,613,696 - Step 5: Solve for x
x = 1,138,078,312,988,169,203,613,696/1,480,524,356,784.10 - Step 6: Final answer
x = 768,699,486,619.88
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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.