Finding the Fourth Proportional to 612,221,008,045.45, 918,331,512,068.20 and 412,392,389,600.65
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Solution
The fourth proportional to 612,221,008,045.45, 918,331,512,068.20 and 412,392,389,600.65 is: 618,588,584,400.99
Step by Step Solution
- Step 1: Write the proportion equation
612,221,008,045.45 : 918,331,512,068.20 = 412,392,389,600.65 : x - Step 2: Convert to fraction form
612,221,008,045.45/918,331,512,068.20 = 412,392,389,600.65/x - Step 3: Cross multiply
612,221,008,045.45x = 918,331,512,068.20 × 412,392,389,600.65 - Step 4: Simplify right side
612,221,008,045.45x = 378,712,926,707,383,120,429,056 - Step 5: Solve for x
x = 378,712,926,707,383,120,429,056/612,221,008,045.45 - Step 6: Final answer
x = 618,588,584,400.99
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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.