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Finding the Fourth Proportional to 279,939,802.90, 419,909,704.35 and 221,489,166.10

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Solution

The fourth proportional to 279,939,802.90, 419,909,704.35 and 221,489,166.10 is: 332,233,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,939,802.90 : 419,909,704.35 = 221,489,166.10 : x
  2. Step 2: Convert to fraction form
    279,939,802.90/419,909,704.35 = 221,489,166.10/x
  3. Step 3: Cross multiply
    279,939,802.90x = 419,909,704.35 × 221,489,166.10
  4. Step 4: Simplify right side
    279,939,802.90x = 93,005,450,253,779,040
  5. Step 5: Solve for x
    x = 93,005,450,253,779,040/279,939,802.90
  6. Step 6: Final answer
    x = 332,233,749.15

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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.