Finding the Fourth Proportional to 25,286,499,223,022, 34,895,368,924,388 and 14,324,702,838,378
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Solution
The fourth proportional to 25,286,499,223,022, 34,895,368,924,388 and 14,324,702,838,378 is: 19,768,089,915,045.55
Step by Step Solution
- Step 1: Write the proportion equation
25,286,499,223,022 : 34,895,368,924,388 = 14,324,702,838,378 : x - Step 2: Convert to fraction form
25,286,499,223,022/34,895,368,924,388 = 14,324,702,838,378/x - Step 3: Cross multiply
25,286,499,223,022x = 34,895,368,924,388 × 14,324,702,838,378 - Step 4: Simplify right side
25,286,499,223,022x = 499,865,790,277,428,238,723,579,904 - Step 5: Solve for x
x = 499,865,790,277,428,238,723,579,904/25,286,499,223,022 - Step 6: Final answer
x = 19,768,089,915,045.55
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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.