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Finding the Fourth Proportional to 224,672,002.80, 314,965,477.20 and 224,672,002.80

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Solution

The fourth proportional to 224,672,002.80, 314,965,477.20 and 224,672,002.80 is: 314,965,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,672,002.80 : 314,965,477.20 = 224,672,002.80 : x
  2. Step 2: Convert to fraction form
    224,672,002.80/314,965,477.20 = 224,672,002.80/x
  3. Step 3: Cross multiply
    224,672,002.80x = 314,965,477.20 × 224,672,002.80
  4. Step 4: Simplify right side
    224,672,002.80x = 70,763,924,575,381,736
  5. Step 5: Solve for x
    x = 70,763,924,575,381,736/224,672,002.80
  6. Step 6: Final answer
    x = 314,965,477.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.