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Finding the Fourth Proportional to 493,766,201.52, 740,813,946.72 and 328,421,549.79

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Solution

The fourth proportional to 493,766,201.52, 740,813,946.72 and 328,421,549.79 is: 492,741,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,766,201.52 : 740,813,946.72 = 328,421,549.79 : x
  2. Step 2: Convert to fraction form
    493,766,201.52/740,813,946.72 = 328,421,549.79/x
  3. Step 3: Cross multiply
    493,766,201.52x = 740,813,946.72 × 328,421,549.79
  4. Step 4: Simplify right side
    493,766,201.52x = 243,299,264,487,828,928
  5. Step 5: Solve for x
    x = 243,299,264,487,828,928/493,766,201.52
  6. Step 6: Final answer
    x = 492,741,835.59

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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.