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Finding the Fourth Proportional to 209,953,583.20, 314,930,374.80 and 200,387,645.20

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Solution

The fourth proportional to 209,953,583.20, 314,930,374.80 and 200,387,645.20 is: 300,581,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,583.20 : 314,930,374.80 = 200,387,645.20 : x
  2. Step 2: Convert to fraction form
    209,953,583.20/314,930,374.80 = 200,387,645.20/x
  3. Step 3: Cross multiply
    209,953,583.20x = 314,930,374.80 × 200,387,645.20
  4. Step 4: Simplify right side
    209,953,583.20x = 63,108,156,208,125,416
  5. Step 5: Solve for x
    x = 63,108,156,208,125,416/209,953,583.20
  6. Step 6: Final answer
    x = 300,581,467.80

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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.