Finding the Fourth Proportional to 2,008,861,762.75, 3,012,129,248.29 and 680,444,576.83
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Solution
The fourth proportional to 2,008,861,762.75, 3,012,129,248.29 and 680,444,576.83 is: 1,020,272,798.12
Step by Step Solution
- Step 1: Write the proportion equation
2,008,861,762.75 : 3,012,129,248.29 = 680,444,576.83 : x - Step 2: Convert to fraction form
2,008,861,762.75/3,012,129,248.29 = 680,444,576.83/x - Step 3: Cross multiply
2,008,861,762.75x = 3,012,129,248.29 × 680,444,576.83 - Step 4: Simplify right side
2,008,861,762.75x = 2,049,587,011,715,867,648 - Step 5: Solve for x
x = 2,049,587,011,715,867,648/2,008,861,762.75 - Step 6: Final answer
x = 1,020,272,798.12
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1.5x scale
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.