Finding the Fourth Proportional to 1,465,346,129.40, 2,198,019,194.10 and 1,455,142,462.20
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Solution
The fourth proportional to 1,465,346,129.40, 2,198,019,194.10 and 1,455,142,462.20 is: 2,182,713,693.30
Step by Step Solution
- Step 1: Write the proportion equation
1,465,346,129.40 : 2,198,019,194.10 = 1,455,142,462.20 : x - Step 2: Convert to fraction form
1,465,346,129.40/2,198,019,194.10 = 1,455,142,462.20/x - Step 3: Cross multiply
1,465,346,129.40x = 2,198,019,194.10 × 1,455,142,462.20 - Step 4: Simplify right side
1,465,346,129.40x = 3,198,431,062,065,533,440 - Step 5: Solve for x
x = 3,198,431,062,065,533,440/1,465,346,129.40 - Step 6: Final answer
x = 2,182,713,693.30
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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.