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Finding the Fourth Proportional to 146,563,223.40, 204,919,774.20 and 146,563,223.40

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Solution

The fourth proportional to 146,563,223.40, 204,919,774.20 and 146,563,223.40 is: 204,919,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,563,223.40 : 204,919,774.20 = 146,563,223.40 : x
  2. Step 2: Convert to fraction form
    146,563,223.40/204,919,774.20 = 146,563,223.40/x
  3. Step 3: Cross multiply
    146,563,223.40x = 204,919,774.20 × 146,563,223.40
  4. Step 4: Simplify right side
    146,563,223.40x = 30,033,702,645,152,156
  5. Step 5: Solve for x
    x = 30,033,702,645,152,156/146,563,223.40
  6. Step 6: Final answer
    x = 204,919,774.20

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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.