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Finding the Fourth Proportional to 559,877,413.80, 839,816,120.70 and 509,712,882.60

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Solution

The fourth proportional to 559,877,413.80, 839,816,120.70 and 509,712,882.60 is: 764,569,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,877,413.80 : 839,816,120.70 = 509,712,882.60 : x
  2. Step 2: Convert to fraction form
    559,877,413.80/839,816,120.70 = 509,712,882.60/x
  3. Step 3: Cross multiply
    559,877,413.80x = 839,816,120.70 × 509,712,882.60
  4. Step 4: Simplify right side
    559,877,413.80x = 428,065,095,735,946,560
  5. Step 5: Solve for x
    x = 428,065,095,735,946,560/559,877,413.80
  6. Step 6: Final answer
    x = 764,569,323.90

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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.