Finding the Fourth Proportional to 9,533,804,544,106, 14,300,706,816,160 and 9,533,804,544,106
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Solution
The fourth proportional to 9,533,804,544,106, 14,300,706,816,160 and 9,533,804,544,106 is: 14,300,706,816,160
Step by Step Solution
- Step 1: Write the proportion equation
9,533,804,544,106 : 14,300,706,816,160 = 9,533,804,544,106 : x - Step 2: Convert to fraction form
9,533,804,544,106/14,300,706,816,160 = 9,533,804,544,106/x - Step 3: Cross multiply
9,533,804,544,106x = 14,300,706,816,160 × 9,533,804,544,106 - Step 4: Simplify right side
9,533,804,544,106x = 136,340,143,627,833,853,815,554,048 - Step 5: Solve for x
x = 136,340,143,627,833,853,815,554,048/9,533,804,544,106 - Step 6: Final answer
x = 14,300,706,816,160
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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.