Finding the Fourth Proportional to 1,465,922,881,655.20, 2,022,973,906,889.70 and 806,728,958,010
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Solution
The fourth proportional to 1,465,922,881,655.20, 2,022,973,906,889.70 and 806,728,958,010 is: 1,113,286,143,773.02
Step by Step Solution
- Step 1: Write the proportion equation
1,465,922,881,655.20 : 2,022,973,906,889.70 = 806,728,958,010 : x - Step 2: Convert to fraction form
1,465,922,881,655.20/2,022,973,906,889.70 = 806,728,958,010/x - Step 3: Cross multiply
1,465,922,881,655.20x = 2,022,973,906,889.70 × 806,728,958,010 - Step 4: Simplify right side
1,465,922,881,655.20x = 1,631,991,631,986,546,492,571,648 - Step 5: Solve for x
x = 1,631,991,631,986,546,492,571,648/1,465,922,881,655.20 - Step 6: Final answer
x = 1,113,286,143,773.02
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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.