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Finding the Fourth Proportional to 224,532,023.10, 313,579,557.30 and 224,532,023.10

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Solution

The fourth proportional to 224,532,023.10, 313,579,557.30 and 224,532,023.10 is: 313,579,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,532,023.10 : 313,579,557.30 = 224,532,023.10 : x
  2. Step 2: Convert to fraction form
    224,532,023.10/313,579,557.30 = 224,532,023.10/x
  3. Step 3: Cross multiply
    224,532,023.10x = 313,579,557.30 × 224,532,023.10
  4. Step 4: Simplify right side
    224,532,023.10x = 70,408,652,403,371,376
  5. Step 5: Solve for x
    x = 70,408,652,403,371,376/224,532,023.10
  6. Step 6: Final answer
    x = 313,579,557.30

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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.