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Finding the Fourth Proportional to 209,952,169.70, 314,928,254.55 and 183,078,313.70

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Solution

The fourth proportional to 209,952,169.70, 314,928,254.55 and 183,078,313.70 is: 274,617,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,169.70 : 314,928,254.55 = 183,078,313.70 : x
  2. Step 2: Convert to fraction form
    209,952,169.70/314,928,254.55 = 183,078,313.70/x
  3. Step 3: Cross multiply
    209,952,169.70x = 314,928,254.55 × 183,078,313.70
  4. Step 4: Simplify right side
    209,952,169.70x = 57,656,533,779,498,352
  5. Step 5: Solve for x
    x = 57,656,533,779,498,352/209,952,169.70
  6. Step 6: Final answer
    x = 274,617,470.55

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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.