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Finding the Fourth Proportional to 906,964,329,844.90, 1,360,446,494,767.40 and 906,964,329,844.90

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Solution

The fourth proportional to 906,964,329,844.90, 1,360,446,494,767.40 and 906,964,329,844.90 is: 1,360,446,494,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,964,329,844.90 : 1,360,446,494,767.40 = 906,964,329,844.90 : x
  2. Step 2: Convert to fraction form
    906,964,329,844.90/1,360,446,494,767.40 = 906,964,329,844.90/x
  3. Step 3: Cross multiply
    906,964,329,844.90x = 1,360,446,494,767.40 × 906,964,329,844.90
  4. Step 4: Simplify right side
    906,964,329,844.90x = 1,233,876,443,416,558,168,965,120
  5. Step 5: Solve for x
    x = 1,233,876,443,416,558,168,965,120/906,964,329,844.90
  6. Step 6: Final answer
    x = 1,360,446,494,767.40

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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.