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Finding the Fourth Proportional to 13,452,048,985.80, 20,178,073,478.70 and 13,452,048,985.80

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Solution

The fourth proportional to 13,452,048,985.80, 20,178,073,478.70 and 13,452,048,985.80 is: 20,178,073,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452,048,985.80 : 20,178,073,478.70 = 13,452,048,985.80 : x
  2. Step 2: Convert to fraction form
    13,452,048,985.80/20,178,073,478.70 = 13,452,048,985.80/x
  3. Step 3: Cross multiply
    13,452,048,985.80x = 20,178,073,478.70 × 13,452,048,985.80
  4. Step 4: Simplify right side
    13,452,048,985.80x = 271,436,432,874,544,201,728
  5. Step 5: Solve for x
    x = 271,436,432,874,544,201,728/13,452,048,985.80
  6. Step 6: Final answer
    x = 20,178,073,478.70

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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.