Finding the Fourth Proportional to 2,306,343,017,301.30, 3,457,092,827,120.50 and 775,988,019,832.10
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Solution
The fourth proportional to 2,306,343,017,301.30, 3,457,092,827,120.50 and 775,988,019,832.10 is: 1,163,167,229,318.75
Step by Step Solution
- Step 1: Write the proportion equation
2,306,343,017,301.30 : 3,457,092,827,120.50 = 775,988,019,832.10 : x - Step 2: Convert to fraction form
2,306,343,017,301.30/3,457,092,827,120.50 = 775,988,019,832.10/x - Step 3: Cross multiply
2,306,343,017,301.30x = 3,457,092,827,120.50 × 775,988,019,832.10 - Step 4: Simplify right side
2,306,343,017,301.30x = 2,682,662,617,292,993,151,893,504 - Step 5: Solve for x
x = 2,682,662,617,292,993,151,893,504/2,306,343,017,301.30 - Step 6: Final answer
x = 1,163,167,229,318.75
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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.