Finding the Fourth Proportional to 149,485,545,491.42, 224,228,899,972.65 and 36,165,089,668.70
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Solution
The fourth proportional to 149,485,545,491.42, 224,228,899,972.65 and 36,165,089,668.70 is: 54,247,775,242.53
Step by Step Solution
- Step 1: Write the proportion equation
149,485,545,491.42 : 224,228,899,972.65 = 36,165,089,668.70 : x - Step 2: Convert to fraction form
149,485,545,491.42/224,228,899,972.65 = 36,165,089,668.70/x - Step 3: Cross multiply
149,485,545,491.42x = 224,228,899,972.65 × 36,165,089,668.70 - Step 4: Simplify right side
149,485,545,491.42x = 8,109,258,273,825,299,103,744 - Step 5: Solve for x
x = 8,109,258,273,825,299,103,744/149,485,545,491.42 - Step 6: Final answer
x = 54,247,775,242.53
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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.