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Finding the Fourth Proportional to 209,952,194.74, 314,928,292.11 and 209,952,194.74

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Solution

The fourth proportional to 209,952,194.74, 314,928,292.11 and 209,952,194.74 is: 314,928,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,194.74 : 314,928,292.11 = 209,952,194.74 : x
  2. Step 2: Convert to fraction form
    209,952,194.74/314,928,292.11 = 209,952,194.74/x
  3. Step 3: Cross multiply
    209,952,194.74x = 314,928,292.11 × 209,952,194.74
  4. Step 4: Simplify right side
    209,952,194.74x = 66,119,886,112,639,688
  5. Step 5: Solve for x
    x = 66,119,886,112,639,688/209,952,194.74
  6. Step 6: Final answer
    x = 314,928,292.11

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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.