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Finding the Fourth Proportional to 493,967,947.20, 740,951,920.80 and 130,462,303.20

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Solution

The fourth proportional to 493,967,947.20, 740,951,920.80 and 130,462,303.20 is: 195,693,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,967,947.20 : 740,951,920.80 = 130,462,303.20 : x
  2. Step 2: Convert to fraction form
    493,967,947.20/740,951,920.80 = 130,462,303.20/x
  3. Step 3: Cross multiply
    493,967,947.20x = 740,951,920.80 × 130,462,303.20
  4. Step 4: Simplify right side
    493,967,947.20x = 96,666,294,148,031,984
  5. Step 5: Solve for x
    x = 96,666,294,148,031,984/493,967,947.20
  6. Step 6: Final answer
    x = 195,693,454.80

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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.