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Finding the Fourth Proportional to 30,275,104.95, 45,412,657.43 and 30,275,104.95

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Solution

The fourth proportional to 30,275,104.95, 45,412,657.43 and 30,275,104.95 is: 45,412,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275,104.95 : 45,412,657.43 = 30,275,104.95 : x
  2. Step 2: Convert to fraction form
    30,275,104.95/45,412,657.43 = 30,275,104.95/x
  3. Step 3: Cross multiply
    30,275,104.95x = 45,412,657.43 × 30,275,104.95
  4. Step 4: Simplify right side
    30,275,104.95x = 1,374,872,969,600,271.75
  5. Step 5: Solve for x
    x = 1,374,872,969,600,271.75/30,275,104.95
  6. Step 6: Final answer
    x = 45,412,657.43

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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.