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Finding the Fourth Proportional to 329,731,724,715.10, 494,597,587,072.64 and 329,731,724,715.10

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Solution

The fourth proportional to 329,731,724,715.10, 494,597,587,072.64 and 329,731,724,715.10 is: 494,597,587,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,731,724,715.10 : 494,597,587,072.64 = 329,731,724,715.10 : x
  2. Step 2: Convert to fraction form
    329,731,724,715.10/494,597,587,072.64 = 329,731,724,715.10/x
  3. Step 3: Cross multiply
    329,731,724,715.10x = 494,597,587,072.64 × 329,731,724,715.10
  4. Step 4: Simplify right side
    329,731,724,715.10x = 163,084,515,425,388,425,379,840
  5. Step 5: Solve for x
    x = 163,084,515,425,388,425,379,840/329,731,724,715.10
  6. Step 6: Final answer
    x = 494,597,587,072.64

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Double scale
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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.