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Finding the Fourth Proportional to 567,651,609.20, 851,477,413.80 and 513,232,050.80

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Solution

The fourth proportional to 567,651,609.20, 851,477,413.80 and 513,232,050.80 is: 769,848,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,651,609.20 : 851,477,413.80 = 513,232,050.80 : x
  2. Step 2: Convert to fraction form
    567,651,609.20/851,477,413.80 = 513,232,050.80/x
  3. Step 3: Cross multiply
    567,651,609.20x = 851,477,413.80 × 513,232,050.80
  4. Step 4: Simplify right side
    567,651,609.20x = 437,005,499,294,454,208
  5. Step 5: Solve for x
    x = 437,005,499,294,454,208/567,651,609.20
  6. Step 6: Final answer
    x = 769,848,076.20

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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.