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Finding the Fourth Proportional to 943,845,366,974.84, 1,415,768,050,462.30 and 943,845,366,974.84

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Solution

The fourth proportional to 943,845,366,974.84, 1,415,768,050,462.30 and 943,845,366,974.84 is: 1,415,768,050,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,845,366,974.84 : 1,415,768,050,462.30 = 943,845,366,974.84 : x
  2. Step 2: Convert to fraction form
    943,845,366,974.84/1,415,768,050,462.30 = 943,845,366,974.84/x
  3. Step 3: Cross multiply
    943,845,366,974.84x = 1,415,768,050,462.30 × 943,845,366,974.84
  4. Step 4: Simplify right side
    943,845,366,974.84x = 1,336,266,115,139,843,227,910,144
  5. Step 5: Solve for x
    x = 1,336,266,115,139,843,227,910,144/943,845,366,974.84
  6. Step 6: Final answer
    x = 1,415,768,050,462.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.