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Finding the Fourth Proportional to 531,505,178.90, 797,257,768.35 and 531,505,178.90

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Solution

The fourth proportional to 531,505,178.90, 797,257,768.35 and 531,505,178.90 is: 797,257,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,505,178.90 : 797,257,768.35 = 531,505,178.90 : x
  2. Step 2: Convert to fraction form
    531,505,178.90/797,257,768.35 = 531,505,178.90/x
  3. Step 3: Cross multiply
    531,505,178.90x = 797,257,768.35 × 531,505,178.90
  4. Step 4: Simplify right side
    531,505,178.90x = 423,746,632,796,281,472
  5. Step 5: Solve for x
    x = 423,746,632,796,281,472/531,505,178.90
  6. Step 6: Final answer
    x = 797,257,768.35

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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.