Finding the Fourth Proportional to 713,232,198.40, 1,069,848,297.60 and 463,561,216.60
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Solution
The fourth proportional to 713,232,198.40, 1,069,848,297.60 and 463,561,216.60 is: 695,341,824.90
Step by Step Solution
- Step 1: Write the proportion equation
713,232,198.40 : 1,069,848,297.60 = 463,561,216.60 : x - Step 2: Convert to fraction form
713,232,198.40/1,069,848,297.60 = 463,561,216.60/x - Step 3: Cross multiply
713,232,198.40x = 1,069,848,297.60 × 463,561,216.60 - Step 4: Simplify right side
713,232,198.40x = 495,940,178,412,894,912 - Step 5: Solve for x
x = 495,940,178,412,894,912/713,232,198.40 - Step 6: Final answer
x = 695,341,824.90
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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.