Finding the Fourth Proportional to 2,331,845,141.76, 3,498,380,938.80 and 838,027,477.44
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Solution
The fourth proportional to 2,331,845,141.76, 3,498,380,938.80 and 838,027,477.44 is: 1,257,261,599.74
Step by Step Solution
- Step 1: Write the proportion equation
2,331,845,141.76 : 3,498,380,938.80 = 838,027,477.44 : x - Step 2: Convert to fraction form
2,331,845,141.76/3,498,380,938.80 = 838,027,477.44/x - Step 3: Cross multiply
2,331,845,141.76x = 3,498,380,938.80 × 838,027,477.44 - Step 4: Simplify right side
2,331,845,141.76x = 2,931,739,353,266,743,296 - Step 5: Solve for x
x = 2,931,739,353,266,743,296/2,331,845,141.76 - Step 6: Final answer
x = 1,257,261,599.74
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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.