Finding the Fourth Proportional to 902,239,443,485.40, 1,353,915,827,728.70 and 418,103,423,839.72
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Solution
The fourth proportional to 902,239,443,485.40, 1,353,915,827,728.70 and 418,103,423,839.72 is: 627,413,096,657.99
Step by Step Solution
- Step 1: Write the proportion equation
902,239,443,485.40 : 1,353,915,827,728.70 = 418,103,423,839.72 : x - Step 2: Convert to fraction form
902,239,443,485.40/1,353,915,827,728.70 = 418,103,423,839.72/x - Step 3: Cross multiply
902,239,443,485.40x = 1,353,915,827,728.70 × 418,103,423,839.72 - Step 4: Simplify right side
902,239,443,485.40x = 566,076,843,164,157,926,703,104 - Step 5: Solve for x
x = 566,076,843,164,157,926,703,104/902,239,443,485.40 - Step 6: Final answer
x = 627,413,096,657.99
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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.