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Finding the Fourth Proportional to 893,882,448,000.90, 1,340,823,672,001.40 and 893,882,448,000.90

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Solution

The fourth proportional to 893,882,448,000.90, 1,340,823,672,001.40 and 893,882,448,000.90 is: 1,340,823,672,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,882,448,000.90 : 1,340,823,672,001.40 = 893,882,448,000.90 : x
  2. Step 2: Convert to fraction form
    893,882,448,000.90/1,340,823,672,001.40 = 893,882,448,000.90/x
  3. Step 3: Cross multiply
    893,882,448,000.90x = 1,340,823,672,001.40 × 893,882,448,000.90
  4. Step 4: Simplify right side
    893,882,448,000.90x = 1,198,538,746,266,167,120,232,448
  5. Step 5: Solve for x
    x = 1,198,538,746,266,167,120,232,448/893,882,448,000.90
  6. Step 6: Final answer
    x = 1,340,823,672,001.40

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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.