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Finding the Fourth Proportional to 260,765,111.20, 391,147,666.80 and 260,765,111.20

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Solution

The fourth proportional to 260,765,111.20, 391,147,666.80 and 260,765,111.20 is: 391,147,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,765,111.20 : 391,147,666.80 = 260,765,111.20 : x
  2. Step 2: Convert to fraction form
    260,765,111.20/391,147,666.80 = 260,765,111.20/x
  3. Step 3: Cross multiply
    260,765,111.20x = 391,147,666.80 × 260,765,111.20
  4. Step 4: Simplify right side
    260,765,111.20x = 101,997,664,828,722,544
  5. Step 5: Solve for x
    x = 101,997,664,828,722,544/260,765,111.20
  6. Step 6: Final answer
    x = 391,147,666.80

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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.