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Finding the Fourth Proportional to 271,987,281.60, 407,980,922.40 and 229,897,154.40

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Solution

The fourth proportional to 271,987,281.60, 407,980,922.40 and 229,897,154.40 is: 344,845,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,987,281.60 : 407,980,922.40 = 229,897,154.40 : x
  2. Step 2: Convert to fraction form
    271,987,281.60/407,980,922.40 = 229,897,154.40/x
  3. Step 3: Cross multiply
    271,987,281.60x = 407,980,922.40 × 229,897,154.40
  4. Step 4: Simplify right side
    271,987,281.60x = 93,793,653,109,247,216
  5. Step 5: Solve for x
    x = 93,793,653,109,247,216/271,987,281.60
  6. Step 6: Final answer
    x = 344,845,731.60

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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.