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Finding the Fourth Proportional to 146,286,842.20, 219,430,263.30 and 146,286,842.20

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Solution

The fourth proportional to 146,286,842.20, 219,430,263.30 and 146,286,842.20 is: 219,430,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,286,842.20 : 219,430,263.30 = 146,286,842.20 : x
  2. Step 2: Convert to fraction form
    146,286,842.20/219,430,263.30 = 146,286,842.20/x
  3. Step 3: Cross multiply
    146,286,842.20x = 219,430,263.30 × 146,286,842.20
  4. Step 4: Simplify right side
    146,286,842.20x = 32,099,760,301,271,552
  5. Step 5: Solve for x
    x = 32,099,760,301,271,552/146,286,842.20
  6. Step 6: Final answer
    x = 219,430,263.30

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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.