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Finding the Fourth Proportional to 209,952,205.80, 314,928,308.70 and 185,718,496.20

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Solution

The fourth proportional to 209,952,205.80, 314,928,308.70 and 185,718,496.20 is: 278,577,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,205.80 : 314,928,308.70 = 185,718,496.20 : x
  2. Step 2: Convert to fraction form
    209,952,205.80/314,928,308.70 = 185,718,496.20/x
  3. Step 3: Cross multiply
    209,952,205.80x = 314,928,308.70 × 185,718,496.20
  4. Step 4: Simplify right side
    209,952,205.80x = 58,488,011,902,573,368
  5. Step 5: Solve for x
    x = 58,488,011,902,573,368/209,952,205.80
  6. Step 6: Final answer
    x = 278,577,744.30

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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.