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Finding the Fourth Proportional to 2,458,259,932.30, 3,687,389,898.46 and 2,458,259,932.30

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Solution

The fourth proportional to 2,458,259,932.30, 3,687,389,898.46 and 2,458,259,932.30 is: 3,687,389,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,259,932.30 : 3,687,389,898.46 = 2,458,259,932.30 : x
  2. Step 2: Convert to fraction form
    2,458,259,932.30/3,687,389,898.46 = 2,458,259,932.30/x
  3. Step 3: Cross multiply
    2,458,259,932.30x = 3,687,389,898.46 × 2,458,259,932.30
  4. Step 4: Simplify right side
    2,458,259,932.30x = 9,064,562,842,151,984,128
  5. Step 5: Solve for x
    x = 9,064,562,842,151,984,128/2,458,259,932.30
  6. Step 6: Final answer
    x = 3,687,389,898.46

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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.