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Finding the Fourth Proportional to 106,930,863,101.70, 160,396,294,652.55 and 106,930,863,101.70

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Solution

The fourth proportional to 106,930,863,101.70, 160,396,294,652.55 and 106,930,863,101.70 is: 160,396,294,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930,863,101.70 : 160,396,294,652.55 = 106,930,863,101.70 : x
  2. Step 2: Convert to fraction form
    106,930,863,101.70/160,396,294,652.55 = 106,930,863,101.70/x
  3. Step 3: Cross multiply
    106,930,863,101.70x = 160,396,294,652.55 × 106,930,863,101.70
  4. Step 4: Simplify right side
    106,930,863,101.70x = 17,151,314,225,511,756,988,416
  5. Step 5: Solve for x
    x = 17,151,314,225,511,756,988,416/106,930,863,101.70
  6. Step 6: Final answer
    x = 160,396,294,652.55

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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.