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Finding the Fourth Proportional to 347,740,496.80, 520,477,004.40 and 347,740,496.80

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Solution

The fourth proportional to 347,740,496.80, 520,477,004.40 and 347,740,496.80 is: 520,477,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,740,496.80 : 520,477,004.40 = 347,740,496.80 : x
  2. Step 2: Convert to fraction form
    347,740,496.80/520,477,004.40 = 347,740,496.80/x
  3. Step 3: Cross multiply
    347,740,496.80x = 520,477,004.40 × 347,740,496.80
  4. Step 4: Simplify right side
    347,740,496.80x = 180,990,932,083,031,776
  5. Step 5: Solve for x
    x = 180,990,932,083,031,776/347,740,496.80
  6. Step 6: Final answer
    x = 520,477,004.40

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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.