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Finding the Fourth Proportional to 65,953,823,999.90, 98,930,735,999.85 and 65,953,823,999.90

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Solution

The fourth proportional to 65,953,823,999.90, 98,930,735,999.85 and 65,953,823,999.90 is: 98,930,735,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,953,823,999.90 : 98,930,735,999.85 = 65,953,823,999.90 : x
  2. Step 2: Convert to fraction form
    65,953,823,999.90/98,930,735,999.85 = 65,953,823,999.90/x
  3. Step 3: Cross multiply
    65,953,823,999.90x = 98,930,735,999.85 × 65,953,823,999.90
  4. Step 4: Simplify right side
    65,953,823,999.90x = 6,524,860,350,314,678,583,296
  5. Step 5: Solve for x
    x = 6,524,860,350,314,678,583,296/65,953,823,999.90
  6. Step 6: Final answer
    x = 98,930,735,999.85

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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.