Finding the Fourth Proportional to 323,105,075,992.29, 484,657,614,021.99 and 107,973,618,361.36
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Solution
The fourth proportional to 323,105,075,992.29, 484,657,614,021.99 and 107,973,618,361.36 is: 161,960,427,553.25
Step by Step Solution
- Step 1: Write the proportion equation
323,105,075,992.29 : 484,657,614,021.99 = 107,973,618,361.36 : x - Step 2: Convert to fraction form
323,105,075,992.29/484,657,614,021.99 = 107,973,618,361.36/x - Step 3: Cross multiply
323,105,075,992.29x = 484,657,614,021.99 × 107,973,618,361.36 - Step 4: Simplify right side
323,105,075,992.29x = 52,330,236,252,337,668,620,288 - Step 5: Solve for x
x = 52,330,236,252,337,668,620,288/323,105,075,992.29 - Step 6: Final answer
x = 161,960,427,553.25
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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.