Finding the Fourth Proportional to 742,203,457.24, 1,024,212,710.70 and 412,199,853.88
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Solution
The fourth proportional to 742,203,457.24, 1,024,212,710.70 and 412,199,853.88 is: 568,820,214.42
Step by Step Solution
- Step 1: Write the proportion equation
742,203,457.24 : 1,024,212,710.70 = 412,199,853.88 : x - Step 2: Convert to fraction form
742,203,457.24/1,024,212,710.70 = 412,199,853.88/x - Step 3: Cross multiply
742,203,457.24x = 1,024,212,710.70 × 412,199,853.88 - Step 4: Simplify right side
742,203,457.24x = 422,180,329,692,578,752 - Step 5: Solve for x
x = 422,180,329,692,578,752/742,203,457.24 - Step 6: Final answer
x = 568,820,214.42
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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.