Finding the Fourth Proportional to 23,204,169,088,612, 32,021,852,895,266 and 12,657,296,152,035
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Solution
The fourth proportional to 23,204,169,088,612, 32,021,852,895,266 and 12,657,296,152,035 is: 17,467,122,993,479.51
Step by Step Solution
- Step 1: Write the proportion equation
23,204,169,088,612 : 32,021,852,895,266 = 12,657,296,152,035 : x - Step 2: Convert to fraction form
23,204,169,088,612/32,021,852,895,266 = 12,657,296,152,035/x - Step 3: Cross multiply
23,204,169,088,612x = 32,021,852,895,266 × 12,657,296,152,035 - Step 4: Simplify right side
23,204,169,088,612x = 405,310,075,432,281,185,535,918,080 - Step 5: Solve for x
x = 405,310,075,432,281,185,535,918,080/23,204,169,088,612 - Step 6: Final answer
x = 17,467,122,993,479.51
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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.