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Finding the Fourth Proportional to 30,798,962,091.40, 46,198,443,137.10 and 30,798,962,091.40

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Solution

The fourth proportional to 30,798,962,091.40, 46,198,443,137.10 and 30,798,962,091.40 is: 46,198,443,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798,962,091.40 : 46,198,443,137.10 = 30,798,962,091.40 : x
  2. Step 2: Convert to fraction form
    30,798,962,091.40/46,198,443,137.10 = 30,798,962,091.40/x
  3. Step 3: Cross multiply
    30,798,962,091.40x = 46,198,443,137.10 × 30,798,962,091.40
  4. Step 4: Simplify right side
    30,798,962,091.40x = 1,422,864,098,861,241,335,808
  5. Step 5: Solve for x
    x = 1,422,864,098,861,241,335,808/30,798,962,091.40
  6. Step 6: Final answer
    x = 46,198,443,137.10

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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.