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Finding the Fourth Proportional to 180,961,100.80, 271,452,148.80 and 51,578,180.80

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Solution

The fourth proportional to 180,961,100.80, 271,452,148.80 and 51,578,180.80 is: 77,370,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961,100.80 : 271,452,148.80 = 51,578,180.80 : x
  2. Step 2: Convert to fraction form
    180,961,100.80/271,452,148.80 = 51,578,180.80/x
  3. Step 3: Cross multiply
    180,961,100.80x = 271,452,148.80 × 51,578,180.80
  4. Step 4: Simplify right side
    180,961,100.80x = 14,001,008,009,354,902
  5. Step 5: Solve for x
    x = 14,001,008,009,354,902/180,961,100.80
  6. Step 6: Final answer
    x = 77,370,263.26

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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.