Finding the Fourth Proportional to 22,101,847,112,082, 30,498,502,164,452 and 12,224,878,020,846
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Solution
The fourth proportional to 22,101,847,112,082, 30,498,502,164,452 and 12,224,878,020,846 is: 16,869,199,523,831.64
Step by Step Solution
- Step 1: Write the proportion equation
22,101,847,112,082 : 30,498,502,164,452 = 12,224,878,020,846 : x - Step 2: Convert to fraction form
22,101,847,112,082/30,498,502,164,452 = 12,224,878,020,846/x - Step 3: Cross multiply
22,101,847,112,082x = 30,498,502,164,452 × 12,224,878,020,846 - Step 4: Simplify right side
22,101,847,112,082x = 372,840,468,778,933,420,023,611,392 - Step 5: Solve for x
x = 372,840,468,778,933,420,023,611,392/22,101,847,112,082 - Step 6: Final answer
x = 16,869,199,523,831.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.