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Finding the Fourth Proportional to 442,894,508.80, 664,341,763.20 and 184,023,692.80

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Solution

The fourth proportional to 442,894,508.80, 664,341,763.20 and 184,023,692.80 is: 276,035,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,894,508.80 : 664,341,763.20 = 184,023,692.80 : x
  2. Step 2: Convert to fraction form
    442,894,508.80/664,341,763.20 = 184,023,692.80/x
  3. Step 3: Cross multiply
    442,894,508.80x = 664,341,763.20 × 184,023,692.80
  4. Step 4: Simplify right side
    442,894,508.80x = 122,254,624,545,327,168
  5. Step 5: Solve for x
    x = 122,254,624,545,327,168/442,894,508.80
  6. Step 6: Final answer
    x = 276,035,539.20

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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.