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Finding the Fourth Proportional to 4,693,686,912,005.70, 7,040,530,368,008.40 and 4,693,686,912,005.70

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Solution

The fourth proportional to 4,693,686,912,005.70, 7,040,530,368,008.40 and 4,693,686,912,005.70 is: 7,040,530,368,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,686,912,005.70 : 7,040,530,368,008.40 = 4,693,686,912,005.70 : x
  2. Step 2: Convert to fraction form
    4,693,686,912,005.70/7,040,530,368,008.40 = 4,693,686,912,005.70/x
  3. Step 3: Cross multiply
    4,693,686,912,005.70x = 7,040,530,368,008.40 × 4,693,686,912,005.70
  4. Step 4: Simplify right side
    4,693,686,912,005.70x = 33,046,045,241,899,704,159,043,584
  5. Step 5: Solve for x
    x = 33,046,045,241,899,704,159,043,584/4,693,686,912,005.70
  6. Step 6: Final answer
    x = 7,040,530,368,008.40

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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.