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Finding the Fourth Proportional to 586,735,608.70, 880,103,413.05 and 177,738,615.10

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Solution

The fourth proportional to 586,735,608.70, 880,103,413.05 and 177,738,615.10 is: 266,607,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,735,608.70 : 880,103,413.05 = 177,738,615.10 : x
  2. Step 2: Convert to fraction form
    586,735,608.70/880,103,413.05 = 177,738,615.10/x
  3. Step 3: Cross multiply
    586,735,608.70x = 880,103,413.05 × 177,738,615.10
  4. Step 4: Simplify right side
    586,735,608.70x = 156,428,361,780,290,240
  5. Step 5: Solve for x
    x = 156,428,361,780,290,240/586,735,608.70
  6. Step 6: Final answer
    x = 266,607,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.