Finding the Fourth Proportional to 614,839,489,037.45, 848,505,166,165.75 and 340,485,141,503.99
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Solution
The fourth proportional to 614,839,489,037.45, 848,505,166,165.75 and 340,485,141,503.99 is: 469,884,265,275.64
Step by Step Solution
- Step 1: Write the proportion equation
614,839,489,037.45 : 848,505,166,165.75 = 340,485,141,503.99 : x - Step 2: Convert to fraction form
614,839,489,037.45/848,505,166,165.75 = 340,485,141,503.99/x - Step 3: Cross multiply
614,839,489,037.45x = 848,505,166,165.75 × 340,485,141,503.99 - Step 4: Simplify right side
614,839,489,037.45x = 288,903,401,568,811,935,072,256 - Step 5: Solve for x
x = 288,903,401,568,811,935,072,256/614,839,489,037.45 - Step 6: Final answer
x = 469,884,265,275.64
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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.