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Finding the Fourth Proportional to 13,699,368,980.33, 20,549,053,470.49 and 13,699,368,980.33

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Solution

The fourth proportional to 13,699,368,980.33, 20,549,053,470.49 and 13,699,368,980.33 is: 20,549,053,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699,368,980.33 : 20,549,053,470.49 = 13,699,368,980.33 : x
  2. Step 2: Convert to fraction form
    13,699,368,980.33/20,549,053,470.49 = 13,699,368,980.33/x
  3. Step 3: Cross multiply
    13,699,368,980.33x = 20,549,053,470.49 × 13,699,368,980.33
  4. Step 4: Simplify right side
    13,699,368,980.33x = 281,509,065,688,643,108,864
  5. Step 5: Solve for x
    x = 281,509,065,688,643,108,864/13,699,368,980.33
  6. Step 6: Final answer
    x = 20,549,053,470.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.