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Finding the Fourth Proportional to 70,981,809.40, 106,472,714.10 and 27,852,419.80

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Solution

The fourth proportional to 70,981,809.40, 106,472,714.10 and 27,852,419.80 is: 41,778,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981,809.40 : 106,472,714.10 = 27,852,419.80 : x
  2. Step 2: Convert to fraction form
    70,981,809.40/106,472,714.10 = 27,852,419.80/x
  3. Step 3: Cross multiply
    70,981,809.40x = 106,472,714.10 × 27,852,419.80
  4. Step 4: Simplify right side
    70,981,809.40x = 2,965,522,730,358,579
  5. Step 5: Solve for x
    x = 2,965,522,730,358,579/70,981,809.40
  6. Step 6: Final answer
    x = 41,778,629.70

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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.