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Finding the Fourth Proportional to 299,376,016.80, 418,106,056.80 and 299,376,016.80

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Solution

The fourth proportional to 299,376,016.80, 418,106,056.80 and 299,376,016.80 is: 418,106,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,376,016.80 : 418,106,056.80 = 299,376,016.80 : x
  2. Step 2: Convert to fraction form
    299,376,016.80/418,106,056.80 = 299,376,016.80/x
  3. Step 3: Cross multiply
    299,376,016.80x = 418,106,056.80 × 299,376,016.80
  4. Step 4: Simplify right side
    299,376,016.80x = 125,170,925,884,738,560
  5. Step 5: Solve for x
    x = 125,170,925,884,738,560/299,376,016.80
  6. Step 6: Final answer
    x = 418,106,056.80

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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.