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Finding the Fourth Proportional to 78,238,998.10, 109,761,345.50 and 78,238,998.10

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Solution

The fourth proportional to 78,238,998.10, 109,761,345.50 and 78,238,998.10 is: 109,761,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238,998.10 : 109,761,345.50 = 78,238,998.10 : x
  2. Step 2: Convert to fraction form
    78,238,998.10/109,761,345.50 = 78,238,998.10/x
  3. Step 3: Cross multiply
    78,238,998.10x = 109,761,345.50 × 78,238,998.10
  4. Step 4: Simplify right side
    78,238,998.10x = 8,587,617,702,027,943
  5. Step 5: Solve for x
    x = 8,587,617,702,027,943/78,238,998.10
  6. Step 6: Final answer
    x = 109,761,345.50

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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.