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Finding the Fourth Proportional to 633,752,300.30, 949,957,515.02 and 213,173,294.74

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Solution

The fourth proportional to 633,752,300.30, 949,957,515.02 and 213,173,294.74 is: 319,534,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,752,300.30 : 949,957,515.02 = 213,173,294.74 : x
  2. Step 2: Convert to fraction form
    633,752,300.30/949,957,515.02 = 213,173,294.74/x
  3. Step 3: Cross multiply
    633,752,300.30x = 949,957,515.02 × 213,173,294.74
  4. Step 4: Simplify right side
    633,752,300.30x = 202,505,573,339,836,448
  5. Step 5: Solve for x
    x = 202,505,573,339,836,448/633,752,300.30
  6. Step 6: Final answer
    x = 319,534,261.64

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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.