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Finding the Fourth Proportional to 1,090,280,768,413.30, 1,635,421,152,620 and 1,090,280,768,413.30

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Solution

The fourth proportional to 1,090,280,768,413.30, 1,635,421,152,620 and 1,090,280,768,413.30 is: 1,635,421,152,620

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,280,768,413.30 : 1,635,421,152,620 = 1,090,280,768,413.30 : x
  2. Step 2: Convert to fraction form
    1,090,280,768,413.30/1,635,421,152,620 = 1,090,280,768,413.30/x
  3. Step 3: Cross multiply
    1,090,280,768,413.30x = 1,635,421,152,620 × 1,090,280,768,413.30
  4. Step 4: Simplify right side
    1,090,280,768,413.30x = 1,783,068,230,957,898,548,641,792
  5. Step 5: Solve for x
    x = 1,783,068,230,957,898,548,641,792/1,090,280,768,413.30
  6. Step 6: Final answer
    x = 1,635,421,152,620

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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.