Finding the Fourth Proportional to 199,480,803,381, 299,698,559,716.23 and 127,910,539,778.09
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Solution
The fourth proportional to 199,480,803,381, 299,698,559,716.23 and 127,910,539,778.09 is: 192,171,897,717.91
Step by Step Solution
- Step 1: Write the proportion equation
199,480,803,381 : 299,698,559,716.23 = 127,910,539,778.09 : x - Step 2: Convert to fraction form
199,480,803,381/299,698,559,716.23 = 127,910,539,778.09/x - Step 3: Cross multiply
199,480,803,381x = 299,698,559,716.23 × 127,910,539,778.09 - Step 4: Simplify right side
199,480,803,381x = 38,334,604,544,019,112,394,752 - Step 5: Solve for x
x = 38,334,604,544,019,112,394,752/199,480,803,381 - Step 6: Final answer
x = 192,171,897,717.91
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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.