Finding the Fourth Proportional to 505,443,467.84, 697,538,929.50 and 282,430,563.05
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Solution
The fourth proportional to 505,443,467.84, 697,538,929.50 and 282,430,563.05 is: 389,769,232.65
Step by Step Solution
- Step 1: Write the proportion equation
505,443,467.84 : 697,538,929.50 = 282,430,563.05 : x - Step 2: Convert to fraction form
505,443,467.84/697,538,929.50 = 282,430,563.05/x - Step 3: Cross multiply
505,443,467.84x = 697,538,929.50 × 282,430,563.05 - Step 4: Simplify right side
505,443,467.84x = 197,006,312,606,970,880 - Step 5: Solve for x
x = 197,006,312,606,970,880/505,443,467.84 - Step 6: Final answer
x = 389,769,232.65
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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.