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Finding the Fourth Proportional to 13,574,499,048,078, 20,361,748,572,123 and 13,574,499,048,078

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Solution

The fourth proportional to 13,574,499,048,078, 20,361,748,572,123 and 13,574,499,048,078 is: 20,361,748,572,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574,499,048,078 : 20,361,748,572,123 = 13,574,499,048,078 : x
  2. Step 2: Convert to fraction form
    13,574,499,048,078/20,361,748,572,123 = 13,574,499,048,078/x
  3. Step 3: Cross multiply
    13,574,499,048,078x = 20,361,748,572,123 × 13,574,499,048,078
  4. Step 4: Simplify right side
    13,574,499,048,078x = 276,400,536,609,487,247,336,538,112
  5. Step 5: Solve for x
    x = 276,400,536,609,487,247,336,538,112/13,574,499,048,078
  6. Step 6: Final answer
    x = 20,361,748,572,123

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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.