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Finding the Fourth Proportional to 15,526,413,413.70, 23,289,620,120.55 and 15,526,413,413.70

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Solution

The fourth proportional to 15,526,413,413.70, 23,289,620,120.55 and 15,526,413,413.70 is: 23,289,620,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,526,413,413.70 : 23,289,620,120.55 = 15,526,413,413.70 : x
  2. Step 2: Convert to fraction form
    15,526,413,413.70/23,289,620,120.55 = 15,526,413,413.70/x
  3. Step 3: Cross multiply
    15,526,413,413.70x = 23,289,620,120.55 × 15,526,413,413.70
  4. Step 4: Simplify right side
    15,526,413,413.70x = 361,604,270,239,684,952,064
  5. Step 5: Solve for x
    x = 361,604,270,239,684,952,064/15,526,413,413.70
  6. Step 6: Final answer
    x = 23,289,620,120.55

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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.