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Finding the Fourth Proportional to 16,144,014,745.40, 24,216,022,118.10 and 16,144,014,745.40

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Solution

The fourth proportional to 16,144,014,745.40, 24,216,022,118.10 and 16,144,014,745.40 is: 24,216,022,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144,014,745.40 : 24,216,022,118.10 = 16,144,014,745.40 : x
  2. Step 2: Convert to fraction form
    16,144,014,745.40/24,216,022,118.10 = 16,144,014,745.40/x
  3. Step 3: Cross multiply
    16,144,014,745.40x = 24,216,022,118.10 × 16,144,014,745.40
  4. Step 4: Simplify right side
    16,144,014,745.40x = 390,943,818,149,538,889,728
  5. Step 5: Solve for x
    x = 390,943,818,149,538,889,728/16,144,014,745.40
  6. Step 6: Final answer
    x = 24,216,022,118.10

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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.