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Finding the Fourth Proportional to 34,877,126,413.60, 52,315,689,620.40 and 34,877,126,413.60

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Solution

The fourth proportional to 34,877,126,413.60, 52,315,689,620.40 and 34,877,126,413.60 is: 52,315,689,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877,126,413.60 : 52,315,689,620.40 = 34,877,126,413.60 : x
  2. Step 2: Convert to fraction form
    34,877,126,413.60/52,315,689,620.40 = 34,877,126,413.60/x
  3. Step 3: Cross multiply
    34,877,126,413.60x = 52,315,689,620.40 × 34,877,126,413.60
  4. Step 4: Simplify right side
    34,877,126,413.60x = 1,824,620,920,305,352,179,712
  5. Step 5: Solve for x
    x = 1,824,620,920,305,352,179,712/34,877,126,413.60
  6. Step 6: Final answer
    x = 52,315,689,620.40

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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.