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Finding the Fourth Proportional to 78,207,327.60, 109,717,006.80 and 78,207,327.60

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Solution

The fourth proportional to 78,207,327.60, 109,717,006.80 and 78,207,327.60 is: 109,717,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,207,327.60 : 109,717,006.80 = 78,207,327.60 : x
  2. Step 2: Convert to fraction form
    78,207,327.60/109,717,006.80 = 78,207,327.60/x
  3. Step 3: Cross multiply
    78,207,327.60x = 109,717,006.80 × 78,207,327.60
  4. Step 4: Simplify right side
    78,207,327.60x = 8,580,673,894,099,027
  5. Step 5: Solve for x
    x = 8,580,673,894,099,027/78,207,327.60
  6. Step 6: Final answer
    x = 109,717,006.80

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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.