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Finding the Fourth Proportional to 317,654,433.60, 443,809,214.40 and 317,654,433.60

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Solution

The fourth proportional to 317,654,433.60, 443,809,214.40 and 317,654,433.60 is: 443,809,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,654,433.60 : 443,809,214.40 = 317,654,433.60 : x
  2. Step 2: Convert to fraction form
    317,654,433.60/443,809,214.40 = 317,654,433.60/x
  3. Step 3: Cross multiply
    317,654,433.60x = 443,809,214.40 × 317,654,433.60
  4. Step 4: Simplify right side
    317,654,433.60x = 140,977,964,626,692,960
  5. Step 5: Solve for x
    x = 140,977,964,626,692,960/317,654,433.60
  6. Step 6: Final answer
    x = 443,809,214.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.