Finding the Fourth Proportional to 204,887,364,656.64, 307,436,109,531.84 and 98,859,854,356.80
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Solution
The fourth proportional to 204,887,364,656.64, 307,436,109,531.84 and 98,859,854,356.80 is: 148,340,475,086.27
Step by Step Solution
- Step 1: Write the proportion equation
204,887,364,656.64 : 307,436,109,531.84 = 98,859,854,356.80 : x - Step 2: Convert to fraction form
204,887,364,656.64/307,436,109,531.84 = 98,859,854,356.80/x - Step 3: Cross multiply
204,887,364,656.64x = 307,436,109,531.84 × 98,859,854,356.80 - Step 4: Simplify right side
204,887,364,656.64x = 30,393,089,012,338,916,327,424 - Step 5: Solve for x
x = 30,393,089,012,338,916,327,424/204,887,364,656.64 - Step 6: Final answer
x = 148,340,475,086.27
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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.