Finding the Fourth Proportional to 232,356,512,120.24, 320,648,727,305.76 and 129,477,967,922.72
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Solution
The fourth proportional to 232,356,512,120.24, 320,648,727,305.76 and 129,477,967,922.72 is: 178,677,779,459.32
Step by Step Solution
- Step 1: Write the proportion equation
232,356,512,120.24 : 320,648,727,305.76 = 129,477,967,922.72 : x - Step 2: Convert to fraction form
232,356,512,120.24/320,648,727,305.76 = 129,477,967,922.72/x - Step 3: Cross multiply
232,356,512,120.24x = 320,648,727,305.76 × 129,477,967,922.72 - Step 4: Simplify right side
232,356,512,120.24x = 41,516,945,628,556,183,994,368 - Step 5: Solve for x
x = 41,516,945,628,556,183,994,368/232,356,512,120.24 - Step 6: Final answer
x = 178,677,779,459.32
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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.