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Finding the Fourth Proportional to 209,952,168.95, 314,928,253.43 and 183,078,312.95

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Solution

The fourth proportional to 209,952,168.95, 314,928,253.43 and 183,078,312.95 is: 274,617,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,168.95 : 314,928,253.43 = 183,078,312.95 : x
  2. Step 2: Convert to fraction form
    209,952,168.95/314,928,253.43 = 183,078,312.95/x
  3. Step 3: Cross multiply
    209,952,168.95x = 314,928,253.43 × 183,078,312.95
  4. Step 4: Simplify right side
    209,952,168.95x = 57,656,533,337,339,056
  5. Step 5: Solve for x
    x = 57,656,533,337,339,056/209,952,168.95
  6. Step 6: Final answer
    x = 274,617,469.43

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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.