Finding the Fourth Proportional to 114,498,467,140.98, 171,524,268,283.94 and 89,197,717,572.84
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Solution
The fourth proportional to 114,498,467,140.98, 171,524,268,283.94 and 89,197,717,572.84 is: 133,622,515,840.68
Step by Step Solution
- Step 1: Write the proportion equation
114,498,467,140.98 : 171,524,268,283.94 = 89,197,717,572.84 : x - Step 2: Convert to fraction form
114,498,467,140.98/171,524,268,283.94 = 89,197,717,572.84/x - Step 3: Cross multiply
114,498,467,140.98x = 171,524,268,283.94 × 89,197,717,572.84 - Step 4: Simplify right side
114,498,467,140.98x = 15,299,573,239,278,917,910,528 - Step 5: Solve for x
x = 15,299,573,239,278,917,910,528/114,498,467,140.98 - Step 6: Final answer
x = 133,622,515,840.68
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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.