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Finding the Fourth Proportional to 209,952,894.90, 314,929,342.35 and 166,587,309.30

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Solution

The fourth proportional to 209,952,894.90, 314,929,342.35 and 166,587,309.30 is: 249,880,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,894.90 : 314,929,342.35 = 166,587,309.30 : x
  2. Step 2: Convert to fraction form
    209,952,894.90/314,929,342.35 = 166,587,309.30/x
  3. Step 3: Cross multiply
    209,952,894.90x = 314,929,342.35 × 166,587,309.30
  4. Step 4: Simplify right side
    209,952,894.90x = 52,463,231,761,705,048
  5. Step 5: Solve for x
    x = 52,463,231,761,705,048/209,952,894.90
  6. Step 6: Final answer
    x = 249,880,963.95

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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.