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Finding the Fourth Proportional to 519,876,543.60, 780,113,413.80 and 196,992,140.40

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Solution

The fourth proportional to 519,876,543.60, 780,113,413.80 and 196,992,140.40 is: 295,601,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,876,543.60 : 780,113,413.80 = 196,992,140.40 : x
  2. Step 2: Convert to fraction form
    519,876,543.60/780,113,413.80 = 196,992,140.40/x
  3. Step 3: Cross multiply
    519,876,543.60x = 780,113,413.80 × 196,992,140.40
  4. Step 4: Simplify right side
    519,876,543.60x = 153,676,211,139,212,896
  5. Step 5: Solve for x
    x = 153,676,211,139,212,896/519,876,543.60
  6. Step 6: Final answer
    x = 295,601,355.80

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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.