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Finding the Fourth Proportional to 398,603,225.80, 597,904,838.70 and 333,980,000.20

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Solution

The fourth proportional to 398,603,225.80, 597,904,838.70 and 333,980,000.20 is: 500,970,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,603,225.80 : 597,904,838.70 = 333,980,000.20 : x
  2. Step 2: Convert to fraction form
    398,603,225.80/597,904,838.70 = 333,980,000.20/x
  3. Step 3: Cross multiply
    398,603,225.80x = 597,904,838.70 × 333,980,000.20
  4. Step 4: Simplify right side
    398,603,225.80x = 199,688,258,148,606,976
  5. Step 5: Solve for x
    x = 199,688,258,148,606,976/398,603,225.80
  6. Step 6: Final answer
    x = 500,970,000.30

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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.