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Finding the Fourth Proportional to 78,343,856.80, 109,794,773.60 and 78,343,856.80

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Solution

The fourth proportional to 78,343,856.80, 109,794,773.60 and 78,343,856.80 is: 109,794,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343,856.80 : 109,794,773.60 = 78,343,856.80 : x
  2. Step 2: Convert to fraction form
    78,343,856.80/109,794,773.60 = 78,343,856.80/x
  3. Step 3: Cross multiply
    78,343,856.80x = 109,794,773.60 × 78,343,856.80
  4. Step 4: Simplify right side
    78,343,856.80x = 8,601,746,020,306,820
  5. Step 5: Solve for x
    x = 8,601,746,020,306,820/78,343,856.80
  6. Step 6: Final answer
    x = 109,794,773.60

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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.