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Finding the Fourth Proportional to 253,837,407.73, 380,790,006.51 and 100,447,591.90

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Solution

The fourth proportional to 253,837,407.73, 380,790,006.51 and 100,447,591.90 is: 150,684,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,837,407.73 : 380,790,006.51 = 100,447,591.90 : x
  2. Step 2: Convert to fraction form
    253,837,407.73/380,790,006.51 = 100,447,591.90/x
  3. Step 3: Cross multiply
    253,837,407.73x = 380,790,006.51 × 100,447,591.90
  4. Step 4: Simplify right side
    253,837,407.73x = 38,249,439,173,514,824
  5. Step 5: Solve for x
    x = 38,249,439,173,514,824/253,837,407.73
  6. Step 6: Final answer
    x = 150,684,800.62

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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.