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Finding the Fourth Proportional to 402,413,337.35, 603,620,006.03 and 402,413,337.35

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Solution

The fourth proportional to 402,413,337.35, 603,620,006.03 and 402,413,337.35 is: 603,620,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413,337.35 : 603,620,006.03 = 402,413,337.35 : x
  2. Step 2: Convert to fraction form
    402,413,337.35/603,620,006.03 = 402,413,337.35/x
  3. Step 3: Cross multiply
    402,413,337.35x = 603,620,006.03 × 402,413,337.35
  4. Step 4: Simplify right side
    402,413,337.35x = 242,904,741,115,747,360
  5. Step 5: Solve for x
    x = 242,904,741,115,747,360/402,413,337.35
  6. Step 6: Final answer
    x = 603,620,006.03

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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.