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Finding the Fourth Proportional to 45,438,205,537.70, 68,157,308,306.55 and 45,438,205,537.70

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Solution

The fourth proportional to 45,438,205,537.70, 68,157,308,306.55 and 45,438,205,537.70 is: 68,157,308,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438,205,537.70 : 68,157,308,306.55 = 45,438,205,537.70 : x
  2. Step 2: Convert to fraction form
    45,438,205,537.70/68,157,308,306.55 = 45,438,205,537.70/x
  3. Step 3: Cross multiply
    45,438,205,537.70x = 68,157,308,306.55 × 45,438,205,537.70
  4. Step 4: Simplify right side
    45,438,205,537.70x = 3,096,945,783,729,406,607,360
  5. Step 5: Solve for x
    x = 3,096,945,783,729,406,607,360/45,438,205,537.70
  6. Step 6: Final answer
    x = 68,157,308,306.55

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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.