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Finding the Fourth Proportional to 13,699,368,113.02, 20,549,052,169.53 and 13,699,368,113.02

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Solution

The fourth proportional to 13,699,368,113.02, 20,549,052,169.53 and 13,699,368,113.02 is: 20,549,052,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699,368,113.02 : 20,549,052,169.53 = 13,699,368,113.02 : x
  2. Step 2: Convert to fraction form
    13,699,368,113.02/20,549,052,169.53 = 13,699,368,113.02/x
  3. Step 3: Cross multiply
    13,699,368,113.02x = 20,549,052,169.53 × 13,699,368,113.02
  4. Step 4: Simplify right side
    13,699,368,113.02x = 281,509,030,044,043,739,136
  5. Step 5: Solve for x
    x = 281,509,030,044,043,739,136/13,699,368,113.02
  6. Step 6: Final answer
    x = 20,549,052,169.53

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Double scale
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1.5x scale

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.