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Finding the Fourth Proportional to 542,883,298.40, 814,356,440.40 and 154,734,538.40

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Solution

The fourth proportional to 542,883,298.40, 814,356,440.40 and 154,734,538.40 is: 232,110,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,883,298.40 : 814,356,440.40 = 154,734,538.40 : x
  2. Step 2: Convert to fraction form
    542,883,298.40/814,356,440.40 = 154,734,538.40/x
  3. Step 3: Cross multiply
    542,883,298.40x = 814,356,440.40 × 154,734,538.40
  4. Step 4: Simplify right side
    542,883,298.40x = 126,009,067,898,361,120
  5. Step 5: Solve for x
    x = 126,009,067,898,361,120/542,883,298.40
  6. Step 6: Final answer
    x = 232,110,783.79

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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.