Finding the Fourth Proportional to 279,420,201,601.70, 419,130,302,402.55 and 279,420,201,601.70
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Solution
The fourth proportional to 279,420,201,601.70, 419,130,302,402.55 and 279,420,201,601.70 is: 419,130,302,402.55
Step by Step Solution
- Step 1: Write the proportion equation
279,420,201,601.70 : 419,130,302,402.55 = 279,420,201,601.70 : x - Step 2: Convert to fraction form
279,420,201,601.70/419,130,302,402.55 = 279,420,201,601.70/x - Step 3: Cross multiply
279,420,201,601.70x = 419,130,302,402.55 × 279,420,201,601.70 - Step 4: Simplify right side
279,420,201,601.70x = 117,113,473,594,702,008,680,448 - Step 5: Solve for x
x = 117,113,473,594,702,008,680,448/279,420,201,601.70 - Step 6: Final answer
x = 419,130,302,402.55
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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.