Finding the Fourth Proportional to 2,078,052,503,864.10, 3,114,896,765,827.30 and 699,177,805,292.20
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Solution
The fourth proportional to 2,078,052,503,864.10, 3,114,896,765,827.30 and 699,177,805,292.20 is: 1,048,032,559,520.61
Step by Step Solution
- Step 1: Write the proportion equation
2,078,052,503,864.10 : 3,114,896,765,827.30 = 699,177,805,292.20 : x - Step 2: Convert to fraction form
2,078,052,503,864.10/3,114,896,765,827.30 = 699,177,805,292.20/x - Step 3: Cross multiply
2,078,052,503,864.10x = 3,114,896,765,827.30 × 699,177,805,292.20 - Step 4: Simplify right side
2,078,052,503,864.10x = 2,177,866,684,442,903,180,214,272 - Step 5: Solve for x
x = 2,177,866,684,442,903,180,214,272/2,078,052,503,864.10 - Step 6: Final answer
x = 1,048,032,559,520.61
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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.