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Finding the Fourth Proportional to 26,698,654,480.80, 37,455,512,978.40 and 26,698,654,480.80

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Solution

The fourth proportional to 26,698,654,480.80, 37,455,512,978.40 and 26,698,654,480.80 is: 37,455,512,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698,654,480.80 : 37,455,512,978.40 = 26,698,654,480.80 : x
  2. Step 2: Convert to fraction form
    26,698,654,480.80/37,455,512,978.40 = 26,698,654,480.80/x
  3. Step 3: Cross multiply
    26,698,654,480.80x = 37,455,512,978.40 × 26,698,654,480.80
  4. Step 4: Simplify right side
    26,698,654,480.80x = 1,000,011,799,411,421,741,056
  5. Step 5: Solve for x
    x = 1,000,011,799,411,421,741,056/26,698,654,480.80
  6. Step 6: Final answer
    x = 37,455,512,978.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.