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Finding the Fourth Proportional to 120,120,663.20, 180,180,994.80 and 120,120,663.20

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Solution

The fourth proportional to 120,120,663.20, 180,180,994.80 and 120,120,663.20 is: 180,180,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,120,663.20 : 180,180,994.80 = 120,120,663.20 : x
  2. Step 2: Convert to fraction form
    120,120,663.20/180,180,994.80 = 120,120,663.20/x
  3. Step 3: Cross multiply
    120,120,663.20x = 180,180,994.80 × 120,120,663.20
  4. Step 4: Simplify right side
    120,120,663.20x = 21,643,460,591,411,752
  5. Step 5: Solve for x
    x = 21,643,460,591,411,752/120,120,663.20
  6. Step 6: Final answer
    x = 180,180,994.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.