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Finding the Fourth Proportional to 664,013,156.80, 996,019,735.20 and 233,191,652.80

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Solution

The fourth proportional to 664,013,156.80, 996,019,735.20 and 233,191,652.80 is: 349,787,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,013,156.80 : 996,019,735.20 = 233,191,652.80 : x
  2. Step 2: Convert to fraction form
    664,013,156.80/996,019,735.20 = 233,191,652.80/x
  3. Step 3: Cross multiply
    664,013,156.80x = 996,019,735.20 × 233,191,652.80
  4. Step 4: Simplify right side
    664,013,156.80x = 232,263,488,272,706,368
  5. Step 5: Solve for x
    x = 232,263,488,272,706,368/664,013,156.80
  6. Step 6: Final answer
    x = 349,787,479.20

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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.