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Finding the Fourth Proportional to 209,952,214.70, 314,928,322.06 and 209,952,214.70

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Solution

The fourth proportional to 209,952,214.70, 314,928,322.06 and 209,952,214.70 is: 314,928,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,214.70 : 314,928,322.06 = 209,952,214.70 : x
  2. Step 2: Convert to fraction form
    209,952,214.70/314,928,322.06 = 209,952,214.70/x
  3. Step 3: Cross multiply
    209,952,214.70x = 314,928,322.06 × 209,952,214.70
  4. Step 4: Simplify right side
    209,952,214.70x = 66,119,898,688,251,864
  5. Step 5: Solve for x
    x = 66,119,898,688,251,864/209,952,214.70
  6. Step 6: Final answer
    x = 314,928,322.06

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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.