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Finding the Fourth Proportional to 148,519,447,537.67, 222,779,171,306.51 and 148,519,447,537.67

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Solution

The fourth proportional to 148,519,447,537.67, 222,779,171,306.51 and 148,519,447,537.67 is: 222,779,171,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,519,447,537.67 : 222,779,171,306.51 = 148,519,447,537.67 : x
  2. Step 2: Convert to fraction form
    148,519,447,537.67/222,779,171,306.51 = 148,519,447,537.67/x
  3. Step 3: Cross multiply
    148,519,447,537.67x = 222,779,171,306.51 × 148,519,447,537.67
  4. Step 4: Simplify right side
    148,519,447,537.67x = 33,087,039,445,342,812,635,136
  5. Step 5: Solve for x
    x = 33,087,039,445,342,812,635,136/148,519,447,537.67
  6. Step 6: Final answer
    x = 222,779,171,306.51

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1.5x scale

Why These Related Problems?

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