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Finding the Fourth Proportional to 183,520,386,003.20, 275,280,579,004.78 and 183,520,386,003.20

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Solution

The fourth proportional to 183,520,386,003.20, 275,280,579,004.78 and 183,520,386,003.20 is: 275,280,579,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520,386,003.20 : 275,280,579,004.78 = 183,520,386,003.20 : x
  2. Step 2: Convert to fraction form
    183,520,386,003.20/275,280,579,004.78 = 183,520,386,003.20/x
  3. Step 3: Cross multiply
    183,520,386,003.20x = 275,280,579,004.78 × 183,520,386,003.20
  4. Step 4: Simplify right side
    183,520,386,003.20x = 50,519,598,118,141,629,038,592
  5. Step 5: Solve for x
    x = 50,519,598,118,141,629,038,592/183,520,386,003.20
  6. Step 6: Final answer
    x = 275,280,579,004.78

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Double scale
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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.