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Finding the Fourth Proportional to 275,800,460.80, 380,605,785.60 and 152,038,422.40

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Solution

The fourth proportional to 275,800,460.80, 380,605,785.60 and 152,038,422.40 is: 209,813,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,800,460.80 : 380,605,785.60 = 152,038,422.40 : x
  2. Step 2: Convert to fraction form
    275,800,460.80/380,605,785.60 = 152,038,422.40/x
  3. Step 3: Cross multiply
    275,800,460.80x = 380,605,785.60 × 152,038,422.40
  4. Step 4: Simplify right side
    275,800,460.80x = 57,866,703,198,936,640
  5. Step 5: Solve for x
    x = 57,866,703,198,936,640/275,800,460.80
  6. Step 6: Final answer
    x = 209,813,656.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.