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Finding the Fourth Proportional to 806,489,766.90, 1,209,734,650.35 and 806,489,766.90

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Solution

The fourth proportional to 806,489,766.90, 1,209,734,650.35 and 806,489,766.90 is: 1,209,734,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,489,766.90 : 1,209,734,650.35 = 806,489,766.90 : x
  2. Step 2: Convert to fraction form
    806,489,766.90/1,209,734,650.35 = 806,489,766.90/x
  3. Step 3: Cross multiply
    806,489,766.90x = 1,209,734,650.35 × 806,489,766.90
  4. Step 4: Simplify right side
    806,489,766.90x = 975,638,616,171,624,448
  5. Step 5: Solve for x
    x = 975,638,616,171,624,448/806,489,766.90
  6. Step 6: Final answer
    x = 1,209,734,650.35

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1.5x scale

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.