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Finding the Fourth Proportional to 209,953,194.80, 314,929,792.20 and 145,120,017.20

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Solution

The fourth proportional to 209,953,194.80, 314,929,792.20 and 145,120,017.20 is: 217,680,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,194.80 : 314,929,792.20 = 145,120,017.20 : x
  2. Step 2: Convert to fraction form
    209,953,194.80/314,929,792.20 = 145,120,017.20/x
  3. Step 3: Cross multiply
    209,953,194.80x = 314,929,792.20 × 145,120,017.20
  4. Step 4: Simplify right side
    209,953,194.80x = 45,702,616,860,856,424
  5. Step 5: Solve for x
    x = 45,702,616,860,856,424/209,953,194.80
  6. Step 6: Final answer
    x = 217,680,025.80

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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.