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Finding the Fourth Proportional to 834,338,006.40, 1,170,491,856 and 834,338,006.40

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Solution

The fourth proportional to 834,338,006.40, 1,170,491,856 and 834,338,006.40 is: 1,170,491,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,338,006.40 : 1,170,491,856 = 834,338,006.40 : x
  2. Step 2: Convert to fraction form
    834,338,006.40/1,170,491,856 = 834,338,006.40/x
  3. Step 3: Cross multiply
    834,338,006.40x = 1,170,491,856 × 834,338,006.40
  4. Step 4: Simplify right side
    834,338,006.40x = 976,585,841,642,475,904
  5. Step 5: Solve for x
    x = 976,585,841,642,475,904/834,338,006.40
  6. Step 6: Final answer
    x = 1,170,491,856

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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.