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Finding the Fourth Proportional to 48,384,005.70, 67,827,187.50 and 48,384,005.70

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Solution

The fourth proportional to 48,384,005.70, 67,827,187.50 and 48,384,005.70 is: 67,827,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384,005.70 : 67,827,187.50 = 48,384,005.70 : x
  2. Step 2: Convert to fraction form
    48,384,005.70/67,827,187.50 = 48,384,005.70/x
  3. Step 3: Cross multiply
    48,384,005.70x = 67,827,187.50 × 48,384,005.70
  4. Step 4: Simplify right side
    48,384,005.70x = 3,281,751,026,614,969
  5. Step 5: Solve for x
    x = 3,281,751,026,614,969/48,384,005.70
  6. Step 6: Final answer
    x = 67,827,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.