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Finding the Fourth Proportional to 402,413,429.30, 603,620,143.95 and 402,413,429.30

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Solution

The fourth proportional to 402,413,429.30, 603,620,143.95 and 402,413,429.30 is: 603,620,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413,429.30 : 603,620,143.95 = 402,413,429.30 : x
  2. Step 2: Convert to fraction form
    402,413,429.30/603,620,143.95 = 402,413,429.30/x
  3. Step 3: Cross multiply
    402,413,429.30x = 603,620,143.95 × 402,413,429.30
  4. Step 4: Simplify right side
    402,413,429.30x = 242,904,852,121,479,168
  5. Step 5: Solve for x
    x = 242,904,852,121,479,168/402,413,429.30
  6. Step 6: Final answer
    x = 603,620,143.95

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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.