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Finding the Fourth Proportional to 213,978,704.13, 321,077,878.04 and 101,931,443.05

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Solution

The fourth proportional to 213,978,704.13, 321,077,878.04 and 101,931,443.05 is: 152,949,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978,704.13 : 321,077,878.04 = 101,931,443.05 : x
  2. Step 2: Convert to fraction form
    213,978,704.13/321,077,878.04 = 101,931,443.05/x
  3. Step 3: Cross multiply
    213,978,704.13x = 321,077,878.04 × 101,931,443.05
  4. Step 4: Simplify right side
    213,978,704.13x = 32,727,931,439,539,452
  5. Step 5: Solve for x
    x = 32,727,931,439,539,452/213,978,704.13
  6. Step 6: Final answer
    x = 152,949,479.59

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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.