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Finding the Fourth Proportional to 20,214,473,443.60, 30,321,710,165.40 and 20,214,473,443.60

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Solution

The fourth proportional to 20,214,473,443.60, 30,321,710,165.40 and 20,214,473,443.60 is: 30,321,710,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214,473,443.60 : 30,321,710,165.40 = 20,214,473,443.60 : x
  2. Step 2: Convert to fraction form
    20,214,473,443.60/30,321,710,165.40 = 20,214,473,443.60/x
  3. Step 3: Cross multiply
    20,214,473,443.60x = 30,321,710,165.40 × 20,214,473,443.60
  4. Step 4: Simplify right side
    20,214,473,443.60x = 612,937,404,903,014,400,000
  5. Step 5: Solve for x
    x = 612,937,404,903,014,400,000/20,214,473,443.60
  6. Step 6: Final answer
    x = 30,321,710,165.40

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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.