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Finding the Fourth Proportional to 549,846,908.60, 824,770,362.90 and 204,729,123.20

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Solution

The fourth proportional to 549,846,908.60, 824,770,362.90 and 204,729,123.20 is: 307,093,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,846,908.60 : 824,770,362.90 = 204,729,123.20 : x
  2. Step 2: Convert to fraction form
    549,846,908.60/824,770,362.90 = 204,729,123.20/x
  3. Step 3: Cross multiply
    549,846,908.60x = 824,770,362.90 × 204,729,123.20
  4. Step 4: Simplify right side
    549,846,908.60x = 168,854,513,237,862,784
  5. Step 5: Solve for x
    x = 168,854,513,237,862,784/549,846,908.60
  6. Step 6: Final answer
    x = 307,093,684.80

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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.