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Finding the Fourth Proportional to 209,952,511.80, 314,928,767.70 and 106,640,381.40

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Solution

The fourth proportional to 209,952,511.80, 314,928,767.70 and 106,640,381.40 is: 159,960,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,511.80 : 314,928,767.70 = 106,640,381.40 : x
  2. Step 2: Convert to fraction form
    209,952,511.80/314,928,767.70 = 106,640,381.40/x
  3. Step 3: Cross multiply
    209,952,511.80x = 314,928,767.70 × 106,640,381.40
  4. Step 4: Simplify right side
    209,952,511.80x = 33,584,123,901,360,000
  5. Step 5: Solve for x
    x = 33,584,123,901,360,000/209,952,511.80
  6. Step 6: Final answer
    x = 159,960,572.10

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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.