Finding the Fourth Proportional to 4,240,078,126.14, 6,361,415,193.69 and 2,171,264,686.14
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Solution
The fourth proportional to 4,240,078,126.14, 6,361,415,193.69 and 2,171,264,686.14 is: 3,257,561,713.02
Step by Step Solution
- Step 1: Write the proportion equation
4,240,078,126.14 : 6,361,415,193.69 = 2,171,264,686.14 : x - Step 2: Convert to fraction form
4,240,078,126.14/6,361,415,193.69 = 2,171,264,686.14/x - Step 3: Cross multiply
4,240,078,126.14x = 6,361,415,193.69 × 2,171,264,686.14 - Step 4: Simplify right side
4,240,078,126.14x = 13,812,316,163,933,542,400 - Step 5: Solve for x
x = 13,812,316,163,933,542,400/4,240,078,126.14 - Step 6: Final answer
x = 3,257,561,713.02
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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.