Finding the Fourth Proportional to 412,516,084,064.87, 618,773,980,458.90 and 110,320,832,658.99
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Solution
The fourth proportional to 412,516,084,064.87, 618,773,980,458.90 and 110,320,832,658.99 is: 165,481,210,039.82
Step by Step Solution
- Step 1: Write the proportion equation
412,516,084,064.87 : 618,773,980,458.90 = 110,320,832,658.99 : x - Step 2: Convert to fraction form
412,516,084,064.87/618,773,980,458.90 = 110,320,832,658.99/x - Step 3: Cross multiply
412,516,084,064.87x = 618,773,980,458.90 × 110,320,832,658.99 - Step 4: Simplify right side
412,516,084,064.87x = 68,263,660,751,943,463,075,840 - Step 5: Solve for x
x = 68,263,660,751,943,463,075,840/412,516,084,064.87 - Step 6: Final answer
x = 165,481,210,039.82
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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.