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Finding the Fourth Proportional to 245,020,879.80, 343,284,323.40 and 245,020,879.80

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Solution

The fourth proportional to 245,020,879.80, 343,284,323.40 and 245,020,879.80 is: 343,284,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,020,879.80 : 343,284,323.40 = 245,020,879.80 : x
  2. Step 2: Convert to fraction form
    245,020,879.80/343,284,323.40 = 245,020,879.80/x
  3. Step 3: Cross multiply
    245,020,879.80x = 343,284,323.40 × 245,020,879.80
  4. Step 4: Simplify right side
    245,020,879.80x = 84,111,826,941,015,728
  5. Step 5: Solve for x
    x = 84,111,826,941,015,728/245,020,879.80
  6. Step 6: Final answer
    x = 343,284,323.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.