Finding the Fourth Proportional to 9,533,804,544,108, 14,300,706,816,163 and 9,533,804,544,108
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Solution
The fourth proportional to 9,533,804,544,108, 14,300,706,816,163 and 9,533,804,544,108 is: 14,300,706,816,163
Step by Step Solution
- Step 1: Write the proportion equation
9,533,804,544,108 : 14,300,706,816,163 = 9,533,804,544,108 : x - Step 2: Convert to fraction form
9,533,804,544,108/14,300,706,816,163 = 9,533,804,544,108/x - Step 3: Cross multiply
9,533,804,544,108x = 14,300,706,816,163 × 9,533,804,544,108 - Step 4: Simplify right side
9,533,804,544,108x = 136,340,143,627,891,062,779,936,768 - Step 5: Solve for x
x = 136,340,143,627,891,062,779,936,768/9,533,804,544,108 - Step 6: Final answer
x = 14,300,706,816,163
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1.5x scale
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.