Finding the Fourth Proportional to 1,600,532,201.12, 2,208,965,471.79 and 922,219,239.29
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Solution
The fourth proportional to 1,600,532,201.12, 2,208,965,471.79 and 922,219,239.29 is: 1,272,795,671.09
Step by Step Solution
- Step 1: Write the proportion equation
1,600,532,201.12 : 2,208,965,471.79 = 922,219,239.29 : x - Step 2: Convert to fraction form
1,600,532,201.12/2,208,965,471.79 = 922,219,239.29/x - Step 3: Cross multiply
1,600,532,201.12x = 2,208,965,471.79 × 922,219,239.29 - Step 4: Simplify right side
1,600,532,201.12x = 2,037,150,457,022,043,648 - Step 5: Solve for x
x = 2,037,150,457,022,043,648/1,600,532,201.12 - Step 6: Final answer
x = 1,272,795,671.09
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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.