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Finding the Fourth Proportional to 48,384,842.70, 67,828,359.30 and 48,384,842.70

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Solution

The fourth proportional to 48,384,842.70, 67,828,359.30 and 48,384,842.70 is: 67,828,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384,842.70 : 67,828,359.30 = 48,384,842.70 : x
  2. Step 2: Convert to fraction form
    48,384,842.70/67,828,359.30 = 48,384,842.70/x
  3. Step 3: Cross multiply
    48,384,842.70x = 67,828,359.30 × 48,384,842.70
  4. Step 4: Simplify right side
    48,384,842.70x = 3,281,864,495,329,582
  5. Step 5: Solve for x
    x = 3,281,864,495,329,582/48,384,842.70
  6. Step 6: Final answer
    x = 67,828,359.30

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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.