Finding the Fourth Proportional to 847,126,624,279.80, 1,270,689,936,419.70 and 847,126,624,279.80
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Solution
The fourth proportional to 847,126,624,279.80, 1,270,689,936,419.70 and 847,126,624,279.80 is: 1,270,689,936,419.70
Step by Step Solution
- Step 1: Write the proportion equation
847,126,624,279.80 : 1,270,689,936,419.70 = 847,126,624,279.80 : x - Step 2: Convert to fraction form
847,126,624,279.80/1,270,689,936,419.70 = 847,126,624,279.80/x - Step 3: Cross multiply
847,126,624,279.80x = 1,270,689,936,419.70 × 847,126,624,279.80 - Step 4: Simplify right side
847,126,624,279.80x = 1,076,435,276,345,534,188,617,728 - Step 5: Solve for x
x = 1,076,435,276,345,534,188,617,728/847,126,624,279.80 - Step 6: Final answer
x = 1,270,689,936,419.70
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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.