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Finding the Fourth Proportional to 81,708,903.10, 122,563,354.65 and 81,708,903.10

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Solution

The fourth proportional to 81,708,903.10, 122,563,354.65 and 81,708,903.10 is: 122,563,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708,903.10 : 122,563,354.65 = 81,708,903.10 : x
  2. Step 2: Convert to fraction form
    81,708,903.10/122,563,354.65 = 81,708,903.10/x
  3. Step 3: Cross multiply
    81,708,903.10x = 122,563,354.65 × 81,708,903.10
  4. Step 4: Simplify right side
    81,708,903.10x = 10,014,517,268,707,784
  5. Step 5: Solve for x
    x = 10,014,517,268,707,784/81,708,903.10
  6. Step 6: Final answer
    x = 122,563,354.65

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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.