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Finding the Fourth Proportional to 224,672,002.55, 314,965,476.85 and 224,672,002.55

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Solution

The fourth proportional to 224,672,002.55, 314,965,476.85 and 224,672,002.55 is: 314,965,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,672,002.55 : 314,965,476.85 = 224,672,002.55 : x
  2. Step 2: Convert to fraction form
    224,672,002.55/314,965,476.85 = 224,672,002.55/x
  3. Step 3: Cross multiply
    224,672,002.55x = 314,965,476.85 × 224,672,002.55
  4. Step 4: Simplify right side
    224,672,002.55x = 70,763,924,418,005,176
  5. Step 5: Solve for x
    x = 70,763,924,418,005,176/224,672,002.55
  6. Step 6: Final answer
    x = 314,965,476.85

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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.