Finding the Fourth Proportional to 269,583,989,394.60, 372,037,599,723.67 and 149,289,927,560.10
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Solution
The fourth proportional to 269,583,989,394.60, 372,037,599,723.67 and 149,289,927,560.10 is: 206,026,576,122.38
Step by Step Solution
- Step 1: Write the proportion equation
269,583,989,394.60 : 372,037,599,723.67 = 149,289,927,560.10 : x - Step 2: Convert to fraction form
269,583,989,394.60/372,037,599,723.67 = 149,289,927,560.10/x - Step 3: Cross multiply
269,583,989,394.60x = 372,037,599,723.67 × 149,289,927,560.10 - Step 4: Simplify right side
269,583,989,394.60x = 55,541,466,312,380,176,662,528 - Step 5: Solve for x
x = 55,541,466,312,380,176,662,528/269,583,989,394.60 - Step 6: Final answer
x = 206,026,576,122.38
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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.