Finding the Fourth Proportional to 10,267,259,482,497, 14,169,157,883,746 and 5,642,915,544,875.40
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Solution
The fourth proportional to 10,267,259,482,497, 14,169,157,883,746 and 5,642,915,544,875.40 is: 7,787,410,205,838.00
Step by Step Solution
- Step 1: Write the proportion equation
10,267,259,482,497 : 14,169,157,883,746 = 5,642,915,544,875.40 : x - Step 2: Convert to fraction form
10,267,259,482,497/14,169,157,883,746 = 5,642,915,544,875.40/x - Step 3: Cross multiply
10,267,259,482,497x = 14,169,157,883,746 × 5,642,915,544,875.40 - Step 4: Simplify right side
10,267,259,482,497x = 79,955,361,279,984,136,756,396,032 - Step 5: Solve for x
x = 79,955,361,279,984,136,756,396,032/10,267,259,482,497 - Step 6: Final answer
x = 7,787,410,205,838.00
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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.