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Finding the Fourth Proportional to 13,457,051,327.80, 20,185,576,991.70 and 13,457,051,327.80

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Solution

The fourth proportional to 13,457,051,327.80, 20,185,576,991.70 and 13,457,051,327.80 is: 20,185,576,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457,051,327.80 : 20,185,576,991.70 = 13,457,051,327.80 : x
  2. Step 2: Convert to fraction form
    13,457,051,327.80/20,185,576,991.70 = 13,457,051,327.80/x
  3. Step 3: Cross multiply
    13,457,051,327.80x = 20,185,576,991.70 × 13,457,051,327.80
  4. Step 4: Simplify right side
    13,457,051,327.80x = 271,638,345,658,565,623,808
  5. Step 5: Solve for x
    x = 271,638,345,658,565,623,808/13,457,051,327.80
  6. Step 6: Final answer
    x = 20,185,576,991.70

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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.