Finding the Fourth Proportional to 327,075,537,865.80, 490,613,306,798.70 and 327,075,537,865.80
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Solution
The fourth proportional to 327,075,537,865.80, 490,613,306,798.70 and 327,075,537,865.80 is: 490,613,306,798.70
Step by Step Solution
- Step 1: Write the proportion equation
327,075,537,865.80 : 490,613,306,798.70 = 327,075,537,865.80 : x - Step 2: Convert to fraction form
327,075,537,865.80/490,613,306,798.70 = 327,075,537,865.80/x - Step 3: Cross multiply
327,075,537,865.80x = 490,613,306,798.70 × 327,075,537,865.80 - Step 4: Simplify right side
327,075,537,865.80x = 160,467,611,205,303,544,053,760 - Step 5: Solve for x
x = 160,467,611,205,303,544,053,760/327,075,537,865.80 - Step 6: Final answer
x = 490,613,306,798.70
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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.