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Finding the Fourth Proportional to 1,102,253,739.12, 1,653,620,023.54 and 402,744,751.22

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Solution

The fourth proportional to 1,102,253,739.12, 1,653,620,023.54 and 402,744,751.22 is: 604,204,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,253,739.12 : 1,653,620,023.54 = 402,744,751.22 : x
  2. Step 2: Convert to fraction form
    1,102,253,739.12/1,653,620,023.54 = 402,744,751.22/x
  3. Step 3: Cross multiply
    1,102,253,739.12x = 1,653,620,023.54 × 402,744,751.22
  4. Step 4: Simplify right side
    1,102,253,739.12x = 665,986,784,997,161,984
  5. Step 5: Solve for x
    x = 665,986,784,997,161,984/1,102,253,739.12
  6. Step 6: Final answer
    x = 604,204,604.95

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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.