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Finding the Fourth Proportional to 646,488,000.20, 969,732,000.30 and 646,488,000.20

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Solution

The fourth proportional to 646,488,000.20, 969,732,000.30 and 646,488,000.20 is: 969,732,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,488,000.20 : 969,732,000.30 = 646,488,000.20 : x
  2. Step 2: Convert to fraction form
    646,488,000.20/969,732,000.30 = 646,488,000.20/x
  3. Step 3: Cross multiply
    646,488,000.20x = 969,732,000.30 × 646,488,000.20
  4. Step 4: Simplify right side
    646,488,000.20x = 626,920,101,603,892,864
  5. Step 5: Solve for x
    x = 626,920,101,603,892,864/646,488,000.20
  6. Step 6: Final answer
    x = 969,732,000.30

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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.