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Finding the Fourth Proportional to 13,574,499,048,049, 20,361,748,572,076 and 13,574,499,048,049

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Solution

The fourth proportional to 13,574,499,048,049, 20,361,748,572,076 and 13,574,499,048,049 is: 20,361,748,572,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574,499,048,049 : 20,361,748,572,076 = 13,574,499,048,049 : x
  2. Step 2: Convert to fraction form
    13,574,499,048,049/20,361,748,572,076 = 13,574,499,048,049/x
  3. Step 3: Cross multiply
    13,574,499,048,049x = 20,361,748,572,076 × 13,574,499,048,049
  4. Step 4: Simplify right side
    13,574,499,048,049x = 276,400,536,608,258,749,250,928,640
  5. Step 5: Solve for x
    x = 276,400,536,608,258,749,250,928,640/13,574,499,048,049
  6. Step 6: Final answer
    x = 20,361,748,572,076

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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.