Finding the Fourth Proportional to 199,480,788,109.70, 299,698,536,752.12 and 127,910,524,576.46
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Solution
The fourth proportional to 199,480,788,109.70, 299,698,536,752.12 and 127,910,524,576.46 is: 192,171,874,865.86
Step by Step Solution
- Step 1: Write the proportion equation
199,480,788,109.70 : 299,698,536,752.12 = 127,910,524,576.46 : x - Step 2: Convert to fraction form
199,480,788,109.70/299,698,536,752.12 = 127,910,524,576.46/x - Step 3: Cross multiply
199,480,788,109.70x = 299,698,536,752.12 × 127,910,524,576.46 - Step 4: Simplify right side
199,480,788,109.70x = 38,334,597,050,761,150,988,288 - Step 5: Solve for x
x = 38,334,597,050,761,150,988,288/199,480,788,109.70 - Step 6: Final answer
x = 192,171,874,865.86
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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.