Finding the Fourth Proportional to 1,034,322,157.53, 1,427,394,723.17 and 564,453,745.07
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Solution
The fourth proportional to 1,034,322,157.53, 1,427,394,723.17 and 564,453,745.07 is: 778,962,619.44
Step by Step Solution
- Step 1: Write the proportion equation
1,034,322,157.53 : 1,427,394,723.17 = 564,453,745.07 : x - Step 2: Convert to fraction form
1,034,322,157.53/1,427,394,723.17 = 564,453,745.07/x - Step 3: Cross multiply
1,034,322,157.53x = 1,427,394,723.17 × 564,453,745.07 - Step 4: Simplify right side
1,034,322,157.53x = 805,698,297,176,503,168 - Step 5: Solve for x
x = 805,698,297,176,503,168/1,034,322,157.53 - Step 6: Final answer
x = 778,962,619.44
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.