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Finding the Fourth Proportional to 1,000,329,753.06, 1,380,475,032.60 and 582,668,942.52

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Solution

The fourth proportional to 1,000,329,753.06, 1,380,475,032.60 and 582,668,942.52 is: 804,094,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,329,753.06 : 1,380,475,032.60 = 582,668,942.52 : x
  2. Step 2: Convert to fraction form
    1,000,329,753.06/1,380,475,032.60 = 582,668,942.52/x
  3. Step 3: Cross multiply
    1,000,329,753.06x = 1,380,475,032.60 × 582,668,942.52
  4. Step 4: Simplify right side
    1,000,329,753.06x = 804,359,927,420,304,384
  5. Step 5: Solve for x
    x = 804,359,927,420,304,384/1,000,329,753.06
  6. Step 6: Final answer
    x = 804,094,774.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.