Finding the Fourth Proportional to 157,224,193,857.70, 235,836,290,786.55 and 51,106,054,977.70
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Solution
The fourth proportional to 157,224,193,857.70, 235,836,290,786.55 and 51,106,054,977.70 is: 76,659,082,466.55
Step by Step Solution
- Step 1: Write the proportion equation
157,224,193,857.70 : 235,836,290,786.55 = 51,106,054,977.70 : x - Step 2: Convert to fraction form
157,224,193,857.70/235,836,290,786.55 = 51,106,054,977.70/x - Step 3: Cross multiply
157,224,193,857.70x = 235,836,290,786.55 × 51,106,054,977.70 - Step 4: Simplify right side
157,224,193,857.70x = 12,052,662,442,674,266,046,464 - Step 5: Solve for x
x = 12,052,662,442,674,266,046,464/157,224,193,857.70 - Step 6: Final answer
x = 76,659,082,466.55
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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.