Finding the Fourth Proportional to 508,320,496,343.76, 701,558,548,438.50 and 386,184,249,198.42
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Solution
The fourth proportional to 508,320,496,343.76, 701,558,548,438.50 and 386,184,249,198.42 is: 532,992,203,238.32
Step by Step Solution
- Step 1: Write the proportion equation
508,320,496,343.76 : 701,558,548,438.50 = 386,184,249,198.42 : x - Step 2: Convert to fraction form
508,320,496,343.76/701,558,548,438.50 = 386,184,249,198.42/x - Step 3: Cross multiply
508,320,496,343.76x = 701,558,548,438.50 × 386,184,249,198.42 - Step 4: Simplify right side
508,320,496,343.76x = 270,930,861,297,455,482,273,792 - Step 5: Solve for x
x = 270,930,861,297,455,482,273,792/508,320,496,343.76 - Step 6: Final answer
x = 532,992,203,238.32
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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.