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Finding the Fourth Proportional to 13,699,368,266.70, 20,549,052,400.14 and 13,699,368,266.70

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Solution

The fourth proportional to 13,699,368,266.70, 20,549,052,400.14 and 13,699,368,266.70 is: 20,549,052,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699,368,266.70 : 20,549,052,400.14 = 13,699,368,266.70 : x
  2. Step 2: Convert to fraction form
    13,699,368,266.70/20,549,052,400.14 = 13,699,368,266.70/x
  3. Step 3: Cross multiply
    13,699,368,266.70x = 20,549,052,400.14 × 13,699,368,266.70
  4. Step 4: Simplify right side
    13,699,368,266.70x = 281,509,036,361,233,399,808
  5. Step 5: Solve for x
    x = 281,509,036,361,233,399,808/13,699,368,266.70
  6. Step 6: Final answer
    x = 20,549,052,400.14

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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.