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Finding the Fourth Proportional to 295,290,596.80, 442,803,184.80 and 113,477,348.80

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Solution

The fourth proportional to 295,290,596.80, 442,803,184.80 and 113,477,348.80 is: 170,165,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,290,596.80 : 442,803,184.80 = 113,477,348.80 : x
  2. Step 2: Convert to fraction form
    295,290,596.80/442,803,184.80 = 113,477,348.80/x
  3. Step 3: Cross multiply
    295,290,596.80x = 442,803,184.80 × 113,477,348.80
  4. Step 4: Simplify right side
    295,290,596.80x = 50,248,131,451,300,456
  5. Step 5: Solve for x
    x = 50,248,131,451,300,456/295,290,596.80
  6. Step 6: Final answer
    x = 170,165,023.86

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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.