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Finding the Fourth Proportional to 209,952,209.70, 314,928,314.55 and 133,361,720.10

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Solution

The fourth proportional to 209,952,209.70, 314,928,314.55 and 133,361,720.10 is: 200,042,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,209.70 : 314,928,314.55 = 133,361,720.10 : x
  2. Step 2: Convert to fraction form
    209,952,209.70/314,928,314.55 = 133,361,720.10/x
  3. Step 3: Cross multiply
    209,952,209.70x = 314,928,314.55 × 133,361,720.10
  4. Step 4: Simplify right side
    209,952,209.70x = 41,999,381,736,581,856
  5. Step 5: Solve for x
    x = 41,999,381,736,581,856/209,952,209.70
  6. Step 6: Final answer
    x = 200,042,580.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.