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Finding the Fourth Proportional to 20,465,402,413.65, 30,698,103,620.48 and 20,465,402,413.65

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Solution

The fourth proportional to 20,465,402,413.65, 30,698,103,620.48 and 20,465,402,413.65 is: 30,698,103,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465,402,413.65 : 30,698,103,620.48 = 20,465,402,413.65 : x
  2. Step 2: Convert to fraction form
    20,465,402,413.65/30,698,103,620.48 = 20,465,402,413.65/x
  3. Step 3: Cross multiply
    20,465,402,413.65x = 30,698,103,620.48 × 20,465,402,413.65
  4. Step 4: Simplify right side
    20,465,402,413.65x = 628,249,043,928,946,835,456
  5. Step 5: Solve for x
    x = 628,249,043,928,946,835,456/20,465,402,413.65
  6. Step 6: Final answer
    x = 30,698,103,620.48

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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.