Finding the Fourth Proportional to 2,350,009,169,002.70, 3,526,623,930,245.20 and 820,185,469,884.45
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Solution
The fourth proportional to 2,350,009,169,002.70, 3,526,623,930,245.20 and 820,185,469,884.45 is: 1,230,840,178,619.99
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,169,002.70 : 3,526,623,930,245.20 = 820,185,469,884.45 : x - Step 2: Convert to fraction form
2,350,009,169,002.70/3,526,623,930,245.20 = 820,185,469,884.45/x - Step 3: Cross multiply
2,350,009,169,002.70x = 3,526,623,930,245.20 × 820,185,469,884.45 - Step 4: Simplify right side
2,350,009,169,002.70x = 2,892,485,705,333,905,276,534,784 - Step 5: Solve for x
x = 2,892,485,705,333,905,276,534,784/2,350,009,169,002.70 - Step 6: Final answer
x = 1,230,840,178,619.99
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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.