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Finding the Fourth Proportional to 629,230,244,648.40, 943,845,366,972.60 and 629,230,244,648.40

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Solution

The fourth proportional to 629,230,244,648.40, 943,845,366,972.60 and 629,230,244,648.40 is: 943,845,366,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,230,244,648.40 : 943,845,366,972.60 = 629,230,244,648.40 : x
  2. Step 2: Convert to fraction form
    629,230,244,648.40/943,845,366,972.60 = 629,230,244,648.40/x
  3. Step 3: Cross multiply
    629,230,244,648.40x = 943,845,366,972.60 × 629,230,244,648.40
  4. Step 4: Simplify right side
    629,230,244,648.40x = 593,896,051,170,427,956,887,552
  5. Step 5: Solve for x
    x = 593,896,051,170,427,956,887,552/629,230,244,648.40
  6. Step 6: Final answer
    x = 943,845,366,972.60

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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.