Finding the Fourth Proportional to 174,027,625,034.74, 240,158,134,096.68 and 96,863,808,816.40
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Solution
The fourth proportional to 174,027,625,034.74, 240,158,134,096.68 and 96,863,808,816.40 is: 133,672,062,594.66
Step by Step Solution
- Step 1: Write the proportion equation
174,027,625,034.74 : 240,158,134,096.68 = 96,863,808,816.40 : x - Step 2: Convert to fraction form
174,027,625,034.74/240,158,134,096.68 = 96,863,808,816.40/x - Step 3: Cross multiply
174,027,625,034.74x = 240,158,134,096.68 × 96,863,808,816.40 - Step 4: Simplify right side
174,027,625,034.74x = 23,262,631,586,844,165,275,648 - Step 5: Solve for x
x = 23,262,631,586,844,165,275,648/174,027,625,034.74 - Step 6: Final answer
x = 133,672,062,594.66
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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.