Finding the Fourth Proportional to 894,659,365,906.35, 1,341,994,065,728.20 and 298,417,596,497.06
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Solution
The fourth proportional to 894,659,365,906.35, 1,341,994,065,728.20 and 298,417,596,497.06 is: 447,628,068,144.37
Step by Step Solution
- Step 1: Write the proportion equation
894,659,365,906.35 : 1,341,994,065,728.20 = 298,417,596,497.06 : x - Step 2: Convert to fraction form
894,659,365,906.35/1,341,994,065,728.20 = 298,417,596,497.06/x - Step 3: Cross multiply
894,659,365,906.35x = 1,341,994,065,728.20 × 298,417,596,497.06 - Step 4: Simplify right side
894,659,365,906.35x = 400,474,643,607,926,989,651,968 - Step 5: Solve for x
x = 400,474,643,607,926,989,651,968/894,659,365,906.35 - Step 6: Final answer
x = 447,628,068,144.37
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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.