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Finding the Fourth Proportional to 306,739,876,906.60, 460,109,815,359.90 and 306,739,876,906.60

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Solution

The fourth proportional to 306,739,876,906.60, 460,109,815,359.90 and 306,739,876,906.60 is: 460,109,815,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,739,876,906.60 : 460,109,815,359.90 = 306,739,876,906.60 : x
  2. Step 2: Convert to fraction form
    306,739,876,906.60/460,109,815,359.90 = 306,739,876,906.60/x
  3. Step 3: Cross multiply
    306,739,876,906.60x = 460,109,815,359.90 × 306,739,876,906.60
  4. Step 4: Simplify right side
    306,739,876,906.60x = 141,134,028,127,014,175,637,504
  5. Step 5: Solve for x
    x = 141,134,028,127,014,175,637,504/306,739,876,906.60
  6. Step 6: Final answer
    x = 460,109,815,359.90

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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.