Finding the Fourth Proportional to 9,952,022,447.36, 13,733,709,343.68 and 5,435,904,378.56
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Solution
The fourth proportional to 9,952,022,447.36, 13,733,709,343.68 and 5,435,904,378.56 is: 7,501,503,453.20
Step by Step Solution
- Step 1: Write the proportion equation
9,952,022,447.36 : 13,733,709,343.68 = 5,435,904,378.56 : x - Step 2: Convert to fraction form
9,952,022,447.36/13,733,709,343.68 = 5,435,904,378.56/x - Step 3: Cross multiply
9,952,022,447.36x = 13,733,709,343.68 × 5,435,904,378.56 - Step 4: Simplify right side
9,952,022,447.36x = 74,655,130,755,180,511,232 - Step 5: Solve for x
x = 74,655,130,755,180,511,232/9,952,022,447.36 - Step 6: Final answer
x = 7,501,503,453.20
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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.