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Finding the Fourth Proportional to 115,893,641,862.67, 173,840,462,794.01 and 115,893,641,862.67

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Solution

The fourth proportional to 115,893,641,862.67, 173,840,462,794.01 and 115,893,641,862.67 is: 173,840,462,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893,641,862.67 : 173,840,462,794.01 = 115,893,641,862.67 : x
  2. Step 2: Convert to fraction form
    115,893,641,862.67/173,840,462,794.01 = 115,893,641,862.67/x
  3. Step 3: Cross multiply
    115,893,641,862.67x = 173,840,462,794.01 × 115,893,641,862.67
  4. Step 4: Simplify right side
    115,893,641,862.67x = 20,147,004,336,289,806,811,136
  5. Step 5: Solve for x
    x = 20,147,004,336,289,806,811,136/115,893,641,862.67
  6. Step 6: Final answer
    x = 173,840,462,794.01

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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.