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Finding the Fourth Proportional to 30,275,301.30, 45,412,951.95 and 30,275,301.30

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Solution

The fourth proportional to 30,275,301.30, 45,412,951.95 and 30,275,301.30 is: 45,412,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275,301.30 : 45,412,951.95 = 30,275,301.30 : x
  2. Step 2: Convert to fraction form
    30,275,301.30/45,412,951.95 = 30,275,301.30/x
  3. Step 3: Cross multiply
    30,275,301.30x = 45,412,951.95 × 30,275,301.30
  4. Step 4: Simplify right side
    30,275,301.30x = 1,374,890,803,208,672.75
  5. Step 5: Solve for x
    x = 1,374,890,803,208,672.75/30,275,301.30
  6. Step 6: Final answer
    x = 45,412,951.95

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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.