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Finding the Fourth Proportional to 199,325,870.20, 278,375,973.80 and 199,325,870.20

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Solution

The fourth proportional to 199,325,870.20, 278,375,973.80 and 199,325,870.20 is: 278,375,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,325,870.20 : 278,375,973.80 = 199,325,870.20 : x
  2. Step 2: Convert to fraction form
    199,325,870.20/278,375,973.80 = 199,325,870.20/x
  3. Step 3: Cross multiply
    199,325,870.20x = 278,375,973.80 × 199,325,870.20
  4. Step 4: Simplify right side
    199,325,870.20x = 55,487,533,220,457,400
  5. Step 5: Solve for x
    x = 55,487,533,220,457,400/199,325,870.20
  6. Step 6: Final answer
    x = 278,375,973.80

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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.