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Finding the Fourth Proportional to 205,867,295,217.60, 308,800,942,826.40 and 205,867,295,217.60

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Solution

The fourth proportional to 205,867,295,217.60, 308,800,942,826.40 and 205,867,295,217.60 is: 308,800,942,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,867,295,217.60 : 308,800,942,826.40 = 205,867,295,217.60 : x
  2. Step 2: Convert to fraction form
    205,867,295,217.60/308,800,942,826.40 = 205,867,295,217.60/x
  3. Step 3: Cross multiply
    205,867,295,217.60x = 308,800,942,826.40 × 205,867,295,217.60
  4. Step 4: Simplify right side
    205,867,295,217.60x = 63,572,014,860,315,710,717,952
  5. Step 5: Solve for x
    x = 63,572,014,860,315,710,717,952/205,867,295,217.60
  6. Step 6: Final answer
    x = 308,800,942,826.40

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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.