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Finding the Fourth Proportional to 11,849,209,408.20, 17,773,814,112.30 and 11,849,209,408.20

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Solution

The fourth proportional to 11,849,209,408.20, 17,773,814,112.30 and 11,849,209,408.20 is: 17,773,814,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849,209,408.20 : 17,773,814,112.30 = 11,849,209,408.20 : x
  2. Step 2: Convert to fraction form
    11,849,209,408.20/17,773,814,112.30 = 11,849,209,408.20/x
  3. Step 3: Cross multiply
    11,849,209,408.20x = 17,773,814,112.30 × 11,849,209,408.20
  4. Step 4: Simplify right side
    11,849,209,408.20x = 210,605,645,399,063,101,440
  5. Step 5: Solve for x
    x = 210,605,645,399,063,101,440/11,849,209,408.20
  6. Step 6: Final answer
    x = 17,773,814,112.30

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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.