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Finding the Fourth Proportional to 1,000,191,610.20, 1,500,287,415.30 and 944,071,440.60

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Solution

The fourth proportional to 1,000,191,610.20, 1,500,287,415.30 and 944,071,440.60 is: 1,416,107,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,191,610.20 : 1,500,287,415.30 = 944,071,440.60 : x
  2. Step 2: Convert to fraction form
    1,000,191,610.20/1,500,287,415.30 = 944,071,440.60/x
  3. Step 3: Cross multiply
    1,000,191,610.20x = 1,500,287,415.30 × 944,071,440.60
  4. Step 4: Simplify right side
    1,000,191,610.20x = 1,416,378,501,476,321,536
  5. Step 5: Solve for x
    x = 1,416,378,501,476,321,536/1,000,191,610.20
  6. Step 6: Final answer
    x = 1,416,107,160.90

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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.