Finding the Fourth Proportional to 13,786,288,313,971, 20,679,432,471,004 and 13,786,288,313,971
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Solution
The fourth proportional to 13,786,288,313,971, 20,679,432,471,004 and 13,786,288,313,971 is: 20,679,432,471,004
Step by Step Solution
- Step 1: Write the proportion equation
13,786,288,313,971 : 20,679,432,471,004 = 13,786,288,313,971 : x - Step 2: Convert to fraction form
13,786,288,313,971/20,679,432,471,004 = 13,786,288,313,971/x - Step 3: Cross multiply
13,786,288,313,971x = 20,679,432,471,004 × 13,786,288,313,971 - Step 4: Simplify right side
13,786,288,313,971x = 285,092,618,214,554,875,082,047,488 - Step 5: Solve for x
x = 285,092,618,214,554,875,082,047,488/13,786,288,313,971 - Step 6: Final answer
x = 20,679,432,471,004
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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.