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Finding the Fourth Proportional to 531,563,401.20, 797,345,101.80 and 531,563,401.20

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Solution

The fourth proportional to 531,563,401.20, 797,345,101.80 and 531,563,401.20 is: 797,345,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,563,401.20 : 797,345,101.80 = 531,563,401.20 : x
  2. Step 2: Convert to fraction form
    531,563,401.20/797,345,101.80 = 531,563,401.20/x
  3. Step 3: Cross multiply
    531,563,401.20x = 797,345,101.80 × 531,563,401.20
  4. Step 4: Simplify right side
    531,563,401.20x = 423,839,474,242,968,192
  5. Step 5: Solve for x
    x = 423,839,474,242,968,192/531,563,401.20
  6. Step 6: Final answer
    x = 797,345,101.80

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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.