Finding the Fourth Proportional to 324,222,745,726.78, 486,236,204,114.96 and 97,522,017,202.81
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Solution
The fourth proportional to 324,222,745,726.78, 486,236,204,114.96 and 97,522,017,202.81 is: 146,253,574,393.85
Step by Step Solution
- Step 1: Write the proportion equation
324,222,745,726.78 : 486,236,204,114.96 = 97,522,017,202.81 : x - Step 2: Convert to fraction form
324,222,745,726.78/486,236,204,114.96 = 97,522,017,202.81/x - Step 3: Cross multiply
324,222,745,726.78x = 486,236,204,114.96 × 97,522,017,202.81 - Step 4: Simplify right side
324,222,745,726.78x = 47,418,735,462,328,163,106,816 - Step 5: Solve for x
x = 47,418,735,462,328,163,106,816/324,222,745,726.78 - Step 6: Final answer
x = 146,253,574,393.85
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1.5x scale
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.