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Finding the Fourth Proportional to 834,336,836.40, 1,170,490,218 and 834,336,836.40

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Solution

The fourth proportional to 834,336,836.40, 1,170,490,218 and 834,336,836.40 is: 1,170,490,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,336,836.40 : 1,170,490,218 = 834,336,836.40 : x
  2. Step 2: Convert to fraction form
    834,336,836.40/1,170,490,218 = 834,336,836.40/x
  3. Step 3: Cross multiply
    834,336,836.40x = 1,170,490,218 × 834,336,836.40
  4. Step 4: Simplify right side
    834,336,836.40x = 976,583,105,523,266,304
  5. Step 5: Solve for x
    x = 976,583,105,523,266,304/834,336,836.40
  6. Step 6: Final answer
    x = 1,170,490,218

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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.