Finding the Fourth Proportional to 23,204,169,039,102, 32,021,852,826,962 and 12,657,296,102,547
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Solution
The fourth proportional to 23,204,169,039,102, 32,021,852,826,962 and 12,657,296,102,547 is: 17,467,122,925,196.77
Step by Step Solution
- Step 1: Write the proportion equation
23,204,169,039,102 : 32,021,852,826,962 = 12,657,296,102,547 : x - Step 2: Convert to fraction form
23,204,169,039,102/32,021,852,826,962 = 12,657,296,102,547/x - Step 3: Cross multiply
23,204,169,039,102x = 32,021,852,826,962 × 12,657,296,102,547 - Step 4: Simplify right side
23,204,169,039,102x = 405,310,072,983,039,732,388,724,736 - Step 5: Solve for x
x = 405,310,072,983,039,732,388,724,736/23,204,169,039,102 - Step 6: Final answer
x = 17,467,122,925,196.77
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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.