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Finding the Fourth Proportional to 271,499,609.70, 407,249,414.55 and 98,982,051.30

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Solution

The fourth proportional to 271,499,609.70, 407,249,414.55 and 98,982,051.30 is: 148,473,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,499,609.70 : 407,249,414.55 = 98,982,051.30 : x
  2. Step 2: Convert to fraction form
    271,499,609.70/407,249,414.55 = 98,982,051.30/x
  3. Step 3: Cross multiply
    271,499,609.70x = 407,249,414.55 × 98,982,051.30
  4. Step 4: Simplify right side
    271,499,609.70x = 40,310,382,442,883,064
  5. Step 5: Solve for x
    x = 40,310,382,442,883,064/271,499,609.70
  6. Step 6: Final answer
    x = 148,473,076.95

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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.