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Finding the Fourth Proportional to 698,603,321.40, 1,047,904,982.10 and 698,603,321.40

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Solution

The fourth proportional to 698,603,321.40, 1,047,904,982.10 and 698,603,321.40 is: 1,047,904,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,603,321.40 : 1,047,904,982.10 = 698,603,321.40 : x
  2. Step 2: Convert to fraction form
    698,603,321.40/1,047,904,982.10 = 698,603,321.40/x
  3. Step 3: Cross multiply
    698,603,321.40x = 1,047,904,982.10 × 698,603,321.40
  4. Step 4: Simplify right side
    698,603,321.40x = 732,069,901,006,667,520
  5. Step 5: Solve for x
    x = 732,069,901,006,667,520/698,603,321.40
  6. Step 6: Final answer
    x = 1,047,904,982.10

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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.