Finding the Fourth Proportional to 1,618,159,745.80, 2,427,239,618.70 and 1,445,831,144.20
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Solution
The fourth proportional to 1,618,159,745.80, 2,427,239,618.70 and 1,445,831,144.20 is: 2,168,746,716.30
Step by Step Solution
- Step 1: Write the proportion equation
1,618,159,745.80 : 2,427,239,618.70 = 1,445,831,144.20 : x - Step 2: Convert to fraction form
1,618,159,745.80/2,427,239,618.70 = 1,445,831,144.20/x - Step 3: Cross multiply
1,618,159,745.80x = 2,427,239,618.70 × 1,445,831,144.20 - Step 4: Simplify right side
1,618,159,745.80x = 3,509,378,635,152,592,384 - Step 5: Solve for x
x = 3,509,378,635,152,592,384/1,618,159,745.80 - Step 6: Final answer
x = 2,168,746,716.30
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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.