Finding the Fourth Proportional to 485,949,182,715.84, 728,658,048,249.36 and 385,862,973,589.20
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Solution
The fourth proportional to 485,949,182,715.84, 728,658,048,249.36 and 385,862,973,589.20 is: 578,583,463,513.33
Step by Step Solution
- Step 1: Write the proportion equation
485,949,182,715.84 : 728,658,048,249.36 = 385,862,973,589.20 : x - Step 2: Convert to fraction form
485,949,182,715.84/728,658,048,249.36 = 385,862,973,589.20/x - Step 3: Cross multiply
485,949,182,715.84x = 728,658,048,249.36 × 385,862,973,589.20 - Step 4: Simplify right side
485,949,182,715.84x = 281,162,161,227,200,821,460,992 - Step 5: Solve for x
x = 281,162,161,227,200,821,460,992/485,949,182,715.84 - Step 6: Final answer
x = 578,583,463,513.33
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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.