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Finding the Fourth Proportional to 12,402,936,398,229, 18,604,404,597,343 and 12,402,936,398,229

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Solution

The fourth proportional to 12,402,936,398,229, 18,604,404,597,343 and 12,402,936,398,229 is: 18,604,404,597,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402,936,398,229 : 18,604,404,597,343 = 12,402,936,398,229 : x
  2. Step 2: Convert to fraction form
    12,402,936,398,229/18,604,404,597,343 = 12,402,936,398,229/x
  3. Step 3: Cross multiply
    12,402,936,398,229x = 18,604,404,597,343 × 12,402,936,398,229
  4. Step 4: Simplify right side
    12,402,936,398,229x = 230,749,246,947,764,429,477,904,384
  5. Step 5: Solve for x
    x = 230,749,246,947,764,429,477,904,384/12,402,936,398,229
  6. Step 6: Final answer
    x = 18,604,404,597,343

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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.