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Finding the Fourth Proportional to 25,432,833,661.30, 38,149,250,491.95 and 25,432,833,661.30

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Solution

The fourth proportional to 25,432,833,661.30, 38,149,250,491.95 and 25,432,833,661.30 is: 38,149,250,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432,833,661.30 : 38,149,250,491.95 = 25,432,833,661.30 : x
  2. Step 2: Convert to fraction form
    25,432,833,661.30/38,149,250,491.95 = 25,432,833,661.30/x
  3. Step 3: Cross multiply
    25,432,833,661.30x = 38,149,250,491.95 × 25,432,833,661.30
  4. Step 4: Simplify right side
    25,432,833,661.30x = 970,243,542,065,031,413,760
  5. Step 5: Solve for x
    x = 970,243,542,065,031,413,760/25,432,833,661.30
  6. Step 6: Final answer
    x = 38,149,250,491.95

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Double scale
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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.