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Finding the Fourth Proportional to 402,413,435.80, 603,620,153.70 and 402,413,435.80

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Solution

The fourth proportional to 402,413,435.80, 603,620,153.70 and 402,413,435.80 is: 603,620,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413,435.80 : 603,620,153.70 = 402,413,435.80 : x
  2. Step 2: Convert to fraction form
    402,413,435.80/603,620,153.70 = 402,413,435.80/x
  3. Step 3: Cross multiply
    402,413,435.80x = 603,620,153.70 × 402,413,435.80
  4. Step 4: Simplify right side
    402,413,435.80x = 242,904,859,968,541,120
  5. Step 5: Solve for x
    x = 242,904,859,968,541,120/402,413,435.80
  6. Step 6: Final answer
    x = 603,620,153.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.