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Finding the Fourth Proportional to 7,875,590,942.20, 11,813,386,413.30 and 7,875,590,942.20

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Solution

The fourth proportional to 7,875,590,942.20, 11,813,386,413.30 and 7,875,590,942.20 is: 11,813,386,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875,590,942.20 : 11,813,386,413.30 = 7,875,590,942.20 : x
  2. Step 2: Convert to fraction form
    7,875,590,942.20/11,813,386,413.30 = 7,875,590,942.20/x
  3. Step 3: Cross multiply
    7,875,590,942.20x = 11,813,386,413.30 × 7,875,590,942.20
  4. Step 4: Simplify right side
    7,875,590,942.20x = 93,037,399,033,294,012,416
  5. Step 5: Solve for x
    x = 93,037,399,033,294,012,416/7,875,590,942.20
  6. Step 6: Final answer
    x = 11,813,386,413.30

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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.