Finding the Fourth Proportional to 1,480,524,356,784.40, 2,220,938,700,010.50 and 512,431,213,425
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Solution
The fourth proportional to 1,480,524,356,784.40, 2,220,938,700,010.50 and 512,431,213,425 is: 768,699,486,620.24
Step by Step Solution
- Step 1: Write the proportion equation
1,480,524,356,784.40 : 2,220,938,700,010.50 = 512,431,213,425 : x - Step 2: Convert to fraction form
1,480,524,356,784.40/2,220,938,700,010.50 = 512,431,213,425/x - Step 3: Cross multiply
1,480,524,356,784.40x = 2,220,938,700,010.50 × 512,431,213,425 - Step 4: Simplify right side
1,480,524,356,784.40x = 1,138,078,312,988,922,567,720,960 - Step 5: Solve for x
x = 1,138,078,312,988,922,567,720,960/1,480,524,356,784.40 - Step 6: Final answer
x = 768,699,486,620.24
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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.