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Finding the Fourth Proportional to 180,961,098.80, 271,452,145.80 and 51,578,178.80

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Solution

The fourth proportional to 180,961,098.80, 271,452,145.80 and 51,578,178.80 is: 77,370,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961,098.80 : 271,452,145.80 = 51,578,178.80 : x
  2. Step 2: Convert to fraction form
    180,961,098.80/271,452,145.80 = 51,578,178.80/x
  3. Step 3: Cross multiply
    180,961,098.80x = 271,452,145.80 × 51,578,178.80
  4. Step 4: Simplify right side
    180,961,098.80x = 14,001,007,311,716,068
  5. Step 5: Solve for x
    x = 14,001,007,311,716,068/180,961,098.80
  6. Step 6: Final answer
    x = 77,370,260.26

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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.