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Finding the Fourth Proportional to 107,872,114,519.80, 161,808,171,779.70 and 107,872,114,519.80

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Solution

The fourth proportional to 107,872,114,519.80, 161,808,171,779.70 and 107,872,114,519.80 is: 161,808,171,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,872,114,519.80 : 161,808,171,779.70 = 107,872,114,519.80 : x
  2. Step 2: Convert to fraction form
    107,872,114,519.80/161,808,171,779.70 = 107,872,114,519.80/x
  3. Step 3: Cross multiply
    107,872,114,519.80x = 161,808,171,779.70 × 107,872,114,519.80
  4. Step 4: Simplify right side
    107,872,114,519.80x = 17,454,589,636,459,269,980,160
  5. Step 5: Solve for x
    x = 17,454,589,636,459,269,980,160/107,872,114,519.80
  6. Step 6: Final answer
    x = 161,808,171,779.70

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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.