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Finding the Fourth Proportional to 534,418,630,239.40, 801,627,945,359.12 and 534,418,630,239.40

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Solution

The fourth proportional to 534,418,630,239.40, 801,627,945,359.12 and 534,418,630,239.40 is: 801,627,945,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,630,239.40 : 801,627,945,359.12 = 534,418,630,239.40 : x
  2. Step 2: Convert to fraction form
    534,418,630,239.40/801,627,945,359.12 = 534,418,630,239.40/x
  3. Step 3: Cross multiply
    534,418,630,239.40x = 801,627,945,359.12 × 534,418,630,239.40
  4. Step 4: Simplify right side
    534,418,630,239.40x = 428,404,908,520,445,524,836,352
  5. Step 5: Solve for x
    x = 428,404,908,520,445,524,836,352/534,418,630,239.40
  6. Step 6: Final answer
    x = 801,627,945,359.12

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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.