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Finding the Fourth Proportional to 8,489,533,988.40, 12,734,300,982.60 and 8,489,533,988.40

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Solution

The fourth proportional to 8,489,533,988.40, 12,734,300,982.60 and 8,489,533,988.40 is: 12,734,300,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489,533,988.40 : 12,734,300,982.60 = 8,489,533,988.40 : x
  2. Step 2: Convert to fraction form
    8,489,533,988.40/12,734,300,982.60 = 8,489,533,988.40/x
  3. Step 3: Cross multiply
    8,489,533,988.40x = 12,734,300,982.60 × 8,489,533,988.40
  4. Step 4: Simplify right side
    8,489,533,988.40x = 108,108,281,010,298,208,256
  5. Step 5: Solve for x
    x = 108,108,281,010,298,208,256/8,489,533,988.40
  6. Step 6: Final answer
    x = 12,734,300,982.60

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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.