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Finding the Fourth Proportional to 160,207,967.10, 224,801,337.30 and 160,207,967.10

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Solution

The fourth proportional to 160,207,967.10, 224,801,337.30 and 160,207,967.10 is: 224,801,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,207,967.10 : 224,801,337.30 = 160,207,967.10 : x
  2. Step 2: Convert to fraction form
    160,207,967.10/224,801,337.30 = 160,207,967.10/x
  3. Step 3: Cross multiply
    160,207,967.10x = 224,801,337.30 × 160,207,967.10
  4. Step 4: Simplify right side
    160,207,967.10x = 36,014,965,250,194,404
  5. Step 5: Solve for x
    x = 36,014,965,250,194,404/160,207,967.10
  6. Step 6: Final answer
    x = 224,801,337.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.