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Finding the Fourth Proportional to 347,740,521.80, 520,477,041.90 and 347,740,521.80

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Solution

The fourth proportional to 347,740,521.80, 520,477,041.90 and 347,740,521.80 is: 520,477,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,740,521.80 : 520,477,041.90 = 347,740,521.80 : x
  2. Step 2: Convert to fraction form
    347,740,521.80/520,477,041.90 = 347,740,521.80/x
  3. Step 3: Cross multiply
    347,740,521.80x = 520,477,041.90 × 347,740,521.80
  4. Step 4: Simplify right side
    347,740,521.80x = 180,990,958,135,226,464
  5. Step 5: Solve for x
    x = 180,990,958,135,226,464/347,740,521.80
  6. Step 6: Final answer
    x = 520,477,041.90

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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.