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Finding the Fourth Proportional to 813,888,942.60, 1,220,833,413.90 and 782,144,200.20

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Solution

The fourth proportional to 813,888,942.60, 1,220,833,413.90 and 782,144,200.20 is: 1,173,216,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,888,942.60 : 1,220,833,413.90 = 782,144,200.20 : x
  2. Step 2: Convert to fraction form
    813,888,942.60/1,220,833,413.90 = 782,144,200.20/x
  3. Step 3: Cross multiply
    813,888,942.60x = 1,220,833,413.90 × 782,144,200.20
  4. Step 4: Simplify right side
    813,888,942.60x = 954,867,774,092,251,136
  5. Step 5: Solve for x
    x = 954,867,774,092,251,136/813,888,942.60
  6. Step 6: Final answer
    x = 1,173,216,300.30

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1.5x scale

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.