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Finding the Fourth Proportional to 488,566,974.80, 732,956,750.40 and 160,986,742.40

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Solution

The fourth proportional to 488,566,974.80, 732,956,750.40 and 160,986,742.40 is: 241,515,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,566,974.80 : 732,956,750.40 = 160,986,742.40 : x
  2. Step 2: Convert to fraction form
    488,566,974.80/732,956,750.40 = 160,986,742.40/x
  3. Step 3: Cross multiply
    488,566,974.80x = 732,956,750.40 × 160,986,742.40
  4. Step 4: Simplify right side
    488,566,974.80x = 117,996,319,566,985,904
  5. Step 5: Solve for x
    x = 117,996,319,566,985,904/488,566,974.80
  6. Step 6: Final answer
    x = 241,515,136.42

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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.