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Finding the Fourth Proportional to 13,961,921,764.60, 20,942,882,646.90 and 13,961,921,764.60

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Solution

The fourth proportional to 13,961,921,764.60, 20,942,882,646.90 and 13,961,921,764.60 is: 20,942,882,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961,921,764.60 : 20,942,882,646.90 = 13,961,921,764.60 : x
  2. Step 2: Convert to fraction form
    13,961,921,764.60/20,942,882,646.90 = 13,961,921,764.60/x
  3. Step 3: Cross multiply
    13,961,921,764.60x = 20,942,882,646.90 × 13,961,921,764.60
  4. Step 4: Simplify right side
    13,961,921,764.60x = 292,402,889,041,216,798,720
  5. Step 5: Solve for x
    x = 292,402,889,041,216,798,720/13,961,921,764.60
  6. Step 6: Final answer
    x = 20,942,882,646.90

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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.