Finding the Fourth Proportional to 7,722,997,864,964.40, 11,580,474,337,121 and 3,642,372,351,480.60
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Solution
The fourth proportional to 7,722,997,864,964.40, 11,580,474,337,121 and 3,642,372,351,480.60 is: 5,461,661,427,347.11
Step by Step Solution
- Step 1: Write the proportion equation
7,722,997,864,964.40 : 11,580,474,337,121 = 3,642,372,351,480.60 : x - Step 2: Convert to fraction form
7,722,997,864,964.40/11,580,474,337,121 = 3,642,372,351,480.60/x - Step 3: Cross multiply
7,722,997,864,964.40x = 11,580,474,337,121 × 3,642,372,351,480.60 - Step 4: Simplify right side
7,722,997,864,964.40x = 42,180,399,542,560,159,506,104,320 - Step 5: Solve for x
x = 42,180,399,542,560,159,506,104,320/7,722,997,864,964.40 - Step 6: Final answer
x = 5,461,661,427,347.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.