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Finding the Fourth Proportional to 109,691,641.60, 164,579,452.80 and 107,970,035.20

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Solution

The fourth proportional to 109,691,641.60, 164,579,452.80 and 107,970,035.20 is: 161,996,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,691,641.60 : 164,579,452.80 = 107,970,035.20 : x
  2. Step 2: Convert to fraction form
    109,691,641.60/164,579,452.80 = 107,970,035.20/x
  3. Step 3: Cross multiply
    109,691,641.60x = 164,579,452.80 × 107,970,035.20
  4. Step 4: Simplify right side
    109,691,641.60x = 17,769,649,312,012,740
  5. Step 5: Solve for x
    x = 17,769,649,312,012,740/109,691,641.60
  6. Step 6: Final answer
    x = 161,996,384.16

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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.