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Finding the Fourth Proportional to 682,736,209.22, 1,023,689,609.58 and 267,715,830.08

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Solution

The fourth proportional to 682,736,209.22, 1,023,689,609.58 and 267,715,830.08 is: 401,411,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,736,209.22 : 1,023,689,609.58 = 267,715,830.08 : x
  2. Step 2: Convert to fraction form
    682,736,209.22/1,023,689,609.58 = 267,715,830.08/x
  3. Step 3: Cross multiply
    682,736,209.22x = 1,023,689,609.58 × 267,715,830.08
  4. Step 4: Simplify right side
    682,736,209.22x = 274,057,913,572,980,832
  5. Step 5: Solve for x
    x = 274,057,913,572,980,832/682,736,209.22
  6. Step 6: Final answer
    x = 401,411,130.50

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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.