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Finding the Fourth Proportional to 347,740,509.80, 520,477,023.90 and 347,740,509.80

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Solution

The fourth proportional to 347,740,509.80, 520,477,023.90 and 347,740,509.80 is: 520,477,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,740,509.80 : 520,477,023.90 = 347,740,509.80 : x
  2. Step 2: Convert to fraction form
    347,740,509.80/520,477,023.90 = 347,740,509.80/x
  3. Step 3: Cross multiply
    347,740,509.80x = 520,477,023.90 × 347,740,509.80
  4. Step 4: Simplify right side
    347,740,509.80x = 180,990,945,630,172,768
  5. Step 5: Solve for x
    x = 180,990,945,630,172,768/347,740,509.80
  6. Step 6: Final answer
    x = 520,477,023.90

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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.