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Finding the Fourth Proportional to 919,924,376,644.67, 1,379,886,564,967 and 919,924,376,644.67

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Solution

The fourth proportional to 919,924,376,644.67, 1,379,886,564,967 and 919,924,376,644.67 is: 1,379,886,564,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,924,376,644.67 : 1,379,886,564,967 = 919,924,376,644.67 : x
  2. Step 2: Convert to fraction form
    919,924,376,644.67/1,379,886,564,967 = 919,924,376,644.67/x
  3. Step 3: Cross multiply
    919,924,376,644.67x = 1,379,886,564,967 × 919,924,376,644.67
  4. Step 4: Simplify right side
    919,924,376,644.67x = 1,269,391,288,117,622,374,137,856
  5. Step 5: Solve for x
    x = 1,269,391,288,117,622,374,137,856/919,924,376,644.67
  6. Step 6: Final answer
    x = 1,379,886,564,967

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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.