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Finding the Fourth Proportional to 30,652,992,014.60, 45,979,488,021.92 and 30,652,992,014.60

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Solution

The fourth proportional to 30,652,992,014.60, 45,979,488,021.92 and 30,652,992,014.60 is: 45,979,488,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652,992,014.60 : 45,979,488,021.92 = 30,652,992,014.60 : x
  2. Step 2: Convert to fraction form
    30,652,992,014.60/45,979,488,021.92 = 30,652,992,014.60/x
  3. Step 3: Cross multiply
    30,652,992,014.60x = 45,979,488,021.92 × 30,652,992,014.60
  4. Step 4: Simplify right side
    30,652,992,014.60x = 1,409,408,879,171,309,928,448
  5. Step 5: Solve for x
    x = 1,409,408,879,171,309,928,448/30,652,992,014.60
  6. Step 6: Final answer
    x = 45,979,488,021.92

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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.