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Finding the Fourth Proportional to 157,464,205.65, 219,939,704.55 and 157,464,205.65

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Solution

The fourth proportional to 157,464,205.65, 219,939,704.55 and 157,464,205.65 is: 219,939,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464,205.65 : 219,939,704.55 = 157,464,205.65 : x
  2. Step 2: Convert to fraction form
    157,464,205.65/219,939,704.55 = 157,464,205.65/x
  3. Step 3: Cross multiply
    157,464,205.65x = 219,939,704.55 × 157,464,205.65
  4. Step 4: Simplify right side
    157,464,205.65x = 34,632,630,867,861,444
  5. Step 5: Solve for x
    x = 34,632,630,867,861,444/157,464,205.65
  6. Step 6: Final answer
    x = 219,939,704.55

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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.