Finding the Fourth Proportional to 75,528,089,721.48, 113,236,282,783.86 and 45,675,784,173.81
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Solution
The fourth proportional to 75,528,089,721.48, 113,236,282,783.86 and 45,675,784,173.81 is: 68,479,899,758.53
Step by Step Solution
- Step 1: Write the proportion equation
75,528,089,721.48 : 113,236,282,783.86 = 45,675,784,173.81 : x - Step 2: Convert to fraction form
75,528,089,721.48/113,236,282,783.86 = 45,675,784,173.81/x - Step 3: Cross multiply
75,528,089,721.48x = 113,236,282,783.86 × 45,675,784,173.81 - Step 4: Simplify right side
75,528,089,721.48x = 5,172,156,013,080,106,500,096 - Step 5: Solve for x
x = 5,172,156,013,080,106,500,096/75,528,089,721.48 - Step 6: Final answer
x = 68,479,899,758.53
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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.