Finding the Fourth Proportional to 457,534,295,114.24, 686,400,725,463.04 and 139,172,219,559.68
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Solution
The fourth proportional to 457,534,295,114.24, 686,400,725,463.04 and 139,172,219,559.68 is: 208,788,529,057.07
Step by Step Solution
- Step 1: Write the proportion equation
457,534,295,114.24 : 686,400,725,463.04 = 139,172,219,559.68 : x - Step 2: Convert to fraction form
457,534,295,114.24/686,400,725,463.04 = 139,172,219,559.68/x - Step 3: Cross multiply
457,534,295,114.24x = 686,400,725,463.04 × 139,172,219,559.68 - Step 4: Simplify right side
457,534,295,114.24x = 95,527,912,470,065,843,273,728 - Step 5: Solve for x
x = 95,527,912,470,065,843,273,728/457,534,295,114.24 - Step 6: Final answer
x = 208,788,529,057.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.