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Finding the Fourth Proportional to 278,577,429.20, 417,866,143.80 and 278,577,429.20

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Solution

The fourth proportional to 278,577,429.20, 417,866,143.80 and 278,577,429.20 is: 417,866,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577,429.20 : 417,866,143.80 = 278,577,429.20 : x
  2. Step 2: Convert to fraction form
    278,577,429.20/417,866,143.80 = 278,577,429.20/x
  3. Step 3: Cross multiply
    278,577,429.20x = 417,866,143.80 × 278,577,429.20
  4. Step 4: Simplify right side
    278,577,429.20x = 116,408,076,089,521,520
  5. Step 5: Solve for x
    x = 116,408,076,089,521,520/278,577,429.20
  6. Step 6: Final answer
    x = 417,866,143.80

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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.