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Finding the Fourth Proportional to 401,236,422.90, 601,854,634.35 and 401,236,422.90

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Solution

The fourth proportional to 401,236,422.90, 601,854,634.35 and 401,236,422.90 is: 601,854,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,236,422.90 : 601,854,634.35 = 401,236,422.90 : x
  2. Step 2: Convert to fraction form
    401,236,422.90/601,854,634.35 = 401,236,422.90/x
  3. Step 3: Cross multiply
    401,236,422.90x = 601,854,634.35 × 401,236,422.90
  4. Step 4: Simplify right side
    401,236,422.90x = 241,486,000,592,381,472
  5. Step 5: Solve for x
    x = 241,486,000,592,381,472/401,236,422.90
  6. Step 6: Final answer
    x = 601,854,634.35

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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.