Finding the Fourth Proportional to 902,239,443,486.42, 1,353,915,827,730.30 and 418,103,423,840.73
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Solution
The fourth proportional to 902,239,443,486.42, 1,353,915,827,730.30 and 418,103,423,840.73 is: 627,413,096,659.54
Step by Step Solution
- Step 1: Write the proportion equation
902,239,443,486.42 : 1,353,915,827,730.30 = 418,103,423,840.73 : x - Step 2: Convert to fraction form
902,239,443,486.42/1,353,915,827,730.30 = 418,103,423,840.73/x - Step 3: Cross multiply
902,239,443,486.42x = 1,353,915,827,730.30 × 418,103,423,840.73 - Step 4: Simplify right side
902,239,443,486.42x = 566,076,843,166,194,412,290,048 - Step 5: Solve for x
x = 566,076,843,166,194,412,290,048/902,239,443,486.42 - Step 6: Final answer
x = 627,413,096,659.54
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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.