Finding the Fourth Proportional to 9,533,804,544,105, 14,300,706,816,158 and 9,533,804,544,105
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Solution
The fourth proportional to 9,533,804,544,105, 14,300,706,816,158 and 9,533,804,544,105 is: 14,300,706,816,158
Step by Step Solution
- Step 1: Write the proportion equation
9,533,804,544,105 : 14,300,706,816,158 = 9,533,804,544,105 : x - Step 2: Convert to fraction form
9,533,804,544,105/14,300,706,816,158 = 9,533,804,544,105/x - Step 3: Cross multiply
9,533,804,544,105x = 14,300,706,816,158 × 9,533,804,544,105 - Step 4: Simplify right side
9,533,804,544,105x = 136,340,143,627,800,490,509,598,720 - Step 5: Solve for x
x = 136,340,143,627,800,490,509,598,720/9,533,804,544,105 - Step 6: Final answer
x = 14,300,706,816,158
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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.