Home / 280,101,177.80-420,151,766.70-178,316,448.20

Finding the Fourth Proportional to 280,101,177.80, 420,151,766.70 and 178,316,448.20

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Solution

The fourth proportional to 280,101,177.80, 420,151,766.70 and 178,316,448.20 is: 267,474,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101,177.80 : 420,151,766.70 = 178,316,448.20 : x
  2. Step 2: Convert to fraction form
    280,101,177.80/420,151,766.70 = 178,316,448.20/x
  3. Step 3: Cross multiply
    280,101,177.80x = 420,151,766.70 × 178,316,448.20
  4. Step 4: Simplify right side
    280,101,177.80x = 74,919,970,742,899,024
  5. Step 5: Solve for x
    x = 74,919,970,742,899,024/280,101,177.80
  6. Step 6: Final answer
    x = 267,474,672.30

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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.