Finding the Fourth Proportional to 2,234,991,067,402.80, 3,084,861,534,997 and 1,455,666,202,328.10
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Solution
The fourth proportional to 2,234,991,067,402.80, 3,084,861,534,997 and 1,455,666,202,328.10 is: 2,009,193,119,762.84
Step by Step Solution
- Step 1: Write the proportion equation
2,234,991,067,402.80 : 3,084,861,534,997 = 1,455,666,202,328.10 : x - Step 2: Convert to fraction form
2,234,991,067,402.80/3,084,861,534,997 = 1,455,666,202,328.10/x - Step 3: Cross multiply
2,234,991,067,402.80x = 3,084,861,534,997 × 1,455,666,202,328.10 - Step 4: Simplify right side
2,234,991,067,402.80x = 4,490,528,675,357,116,466,200,576 - Step 5: Solve for x
x = 4,490,528,675,357,116,466,200,576/2,234,991,067,402.80 - Step 6: Final answer
x = 2,009,193,119,762.84
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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.