Finding the Fourth Proportional to 296,337,784,746.34, 408,949,862,236.84 and 161,009,225,135.37
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Solution
The fourth proportional to 296,337,784,746.34, 408,949,862,236.84 and 161,009,225,135.37 is: 222,194,751,487.17
Step by Step Solution
- Step 1: Write the proportion equation
296,337,784,746.34 : 408,949,862,236.84 = 161,009,225,135.37 : x - Step 2: Convert to fraction form
296,337,784,746.34/408,949,862,236.84 = 161,009,225,135.37/x - Step 3: Cross multiply
296,337,784,746.34x = 408,949,862,236.84 × 161,009,225,135.37 - Step 4: Simplify right side
296,337,784,746.34x = 65,844,700,437,969,918,492,672 - Step 5: Solve for x
x = 65,844,700,437,969,918,492,672/296,337,784,746.34 - Step 6: Final answer
x = 222,194,751,487.17
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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.