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Finding the Fourth Proportional to 472,185,106.80, 708,277,660.20 and 333,635,449.20

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Solution

The fourth proportional to 472,185,106.80, 708,277,660.20 and 333,635,449.20 is: 500,453,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,185,106.80 : 708,277,660.20 = 333,635,449.20 : x
  2. Step 2: Convert to fraction form
    472,185,106.80/708,277,660.20 = 333,635,449.20/x
  3. Step 3: Cross multiply
    472,185,106.80x = 708,277,660.20 × 333,635,449.20
  4. Step 4: Simplify right side
    472,185,106.80x = 236,306,535,319,151,968
  5. Step 5: Solve for x
    x = 236,306,535,319,151,968/472,185,106.80
  6. Step 6: Final answer
    x = 500,453,173.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.