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Finding the Fourth Proportional to 433,412,856,000.90, 650,119,284,001.36 and 433,412,856,000.90

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Solution

The fourth proportional to 433,412,856,000.90, 650,119,284,001.36 and 433,412,856,000.90 is: 650,119,284,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,412,856,000.90 : 650,119,284,001.36 = 433,412,856,000.90 : x
  2. Step 2: Convert to fraction form
    433,412,856,000.90/650,119,284,001.36 = 433,412,856,000.90/x
  3. Step 3: Cross multiply
    433,412,856,000.90x = 650,119,284,001.36 × 433,412,856,000.90
  4. Step 4: Simplify right side
    433,412,856,000.90x = 281,770,055,620,289,661,763,584
  5. Step 5: Solve for x
    x = 281,770,055,620,289,661,763,584/433,412,856,000.90
  6. Step 6: Final answer
    x = 650,119,284,001.36

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1.5x scale

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.