Finding the Fourth Proportional to 141,449,107,722.28, 195,198,775,652.96 and 77,219,832,028.24
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Solution
The fourth proportional to 141,449,107,722.28, 195,198,775,652.96 and 77,219,832,028.24 is: 106,562,826,098.80
Step by Step Solution
- Step 1: Write the proportion equation
141,449,107,722.28 : 195,198,775,652.96 = 77,219,832,028.24 : x - Step 2: Convert to fraction form
141,449,107,722.28/195,198,775,652.96 = 77,219,832,028.24/x - Step 3: Cross multiply
141,449,107,722.28x = 195,198,775,652.96 × 77,219,832,028.24 - Step 4: Simplify right side
141,449,107,722.28x = 15,073,216,668,039,674,593,280 - Step 5: Solve for x
x = 15,073,216,668,039,674,593,280/141,449,107,722.28 - Step 6: Final answer
x = 106,562,826,098.80
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1.5x scale
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.