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Finding the Fourth Proportional to 338,186,790,310.80, 507,280,185,466.20 and 338,186,790,310.80

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Solution

The fourth proportional to 338,186,790,310.80, 507,280,185,466.20 and 338,186,790,310.80 is: 507,280,185,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,186,790,310.80 : 507,280,185,466.20 = 338,186,790,310.80 : x
  2. Step 2: Convert to fraction form
    338,186,790,310.80/507,280,185,466.20 = 338,186,790,310.80/x
  3. Step 3: Cross multiply
    338,186,790,310.80x = 507,280,185,466.20 × 338,186,790,310.80
  4. Step 4: Simplify right side
    338,186,790,310.80x = 171,555,457,711,081,512,763,392
  5. Step 5: Solve for x
    x = 171,555,457,711,081,512,763,392/338,186,790,310.80
  6. Step 6: Final answer
    x = 507,280,185,466.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.