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Finding the Fourth Proportional to 377,924,811.20, 565,991,421.60 and 377,924,811.20

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Solution

The fourth proportional to 377,924,811.20, 565,991,421.60 and 377,924,811.20 is: 565,991,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,924,811.20 : 565,991,421.60 = 377,924,811.20 : x
  2. Step 2: Convert to fraction form
    377,924,811.20/565,991,421.60 = 377,924,811.20/x
  3. Step 3: Cross multiply
    377,924,811.20x = 565,991,421.60 × 377,924,811.20
  4. Step 4: Simplify right side
    377,924,811.20x = 213,902,201,148,999,616
  5. Step 5: Solve for x
    x = 213,902,201,148,999,616/377,924,811.20
  6. Step 6: Final answer
    x = 565,991,421.60

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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.