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Finding the Fourth Proportional to 209,952,208.70, 314,928,313.05 and 73,588,384.70

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Solution

The fourth proportional to 209,952,208.70, 314,928,313.05 and 73,588,384.70 is: 110,382,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,208.70 : 314,928,313.05 = 73,588,384.70 : x
  2. Step 2: Convert to fraction form
    209,952,208.70/314,928,313.05 = 73,588,384.70/x
  3. Step 3: Cross multiply
    209,952,208.70x = 314,928,313.05 × 73,588,384.70
  4. Step 4: Simplify right side
    209,952,208.70x = 23,175,065,853,645,432
  5. Step 5: Solve for x
    x = 23,175,065,853,645,432/209,952,208.70
  6. Step 6: Final answer
    x = 110,382,577.05

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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.