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Finding the Fourth Proportional to 578,569,745.28, 798,432,108.48 and 314,256,900

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Solution

The fourth proportional to 578,569,745.28, 798,432,108.48 and 314,256,900 is: 433,677,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,569,745.28 : 798,432,108.48 = 314,256,900 : x
  2. Step 2: Convert to fraction form
    578,569,745.28/798,432,108.48 = 314,256,900/x
  3. Step 3: Cross multiply
    578,569,745.28x = 798,432,108.48 × 314,256,900
  4. Step 4: Simplify right side
    578,569,745.28x = 250,912,799,271,388,512
  5. Step 5: Solve for x
    x = 250,912,799,271,388,512/578,569,745.28
  6. Step 6: Final answer
    x = 433,677,704.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.