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Finding the Fourth Proportional to 48,271,406.20, 72,407,109.30 and 48,271,406.20

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Solution

The fourth proportional to 48,271,406.20, 72,407,109.30 and 48,271,406.20 is: 72,407,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,271,406.20 : 72,407,109.30 = 48,271,406.20 : x
  2. Step 2: Convert to fraction form
    48,271,406.20/72,407,109.30 = 48,271,406.20/x
  3. Step 3: Cross multiply
    48,271,406.20x = 72,407,109.30 × 48,271,406.20
  4. Step 4: Simplify right side
    48,271,406.20x = 3,495,192,984,788,097.50
  5. Step 5: Solve for x
    x = 3,495,192,984,788,097.50/48,271,406.20
  6. Step 6: Final answer
    x = 72,407,109.30

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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.