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Finding the Fourth Proportional to 976,793,902.40, 1,465,190,853.60 and 589,373,413.40

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Solution

The fourth proportional to 976,793,902.40, 1,465,190,853.60 and 589,373,413.40 is: 884,060,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,793,902.40 : 1,465,190,853.60 = 589,373,413.40 : x
  2. Step 2: Convert to fraction form
    976,793,902.40/1,465,190,853.60 = 589,373,413.40/x
  3. Step 3: Cross multiply
    976,793,902.40x = 1,465,190,853.60 × 589,373,413.40
  4. Step 4: Simplify right side
    976,793,902.40x = 863,544,534,668,691,584
  5. Step 5: Solve for x
    x = 863,544,534,668,691,584/976,793,902.40
  6. Step 6: Final answer
    x = 884,060,120.10

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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.