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Finding the Fourth Proportional to 209,952,347.70, 314,928,521.55 and 209,952,347.70

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Solution

The fourth proportional to 209,952,347.70, 314,928,521.55 and 209,952,347.70 is: 314,928,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,347.70 : 314,928,521.55 = 209,952,347.70 : x
  2. Step 2: Convert to fraction form
    209,952,347.70/314,928,521.55 = 209,952,347.70/x
  3. Step 3: Cross multiply
    209,952,347.70x = 314,928,521.55 × 209,952,347.70
  4. Step 4: Simplify right side
    209,952,347.70x = 66,119,982,457,112,544
  5. Step 5: Solve for x
    x = 66,119,982,457,112,544/209,952,347.70
  6. Step 6: Final answer
    x = 314,928,521.55

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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.