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Finding the Fourth Proportional to 11,326,070,596,540, 16,989,105,894,809 and 11,326,070,596,540

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Solution

The fourth proportional to 11,326,070,596,540, 16,989,105,894,809 and 11,326,070,596,540 is: 16,989,105,894,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326,070,596,540 : 16,989,105,894,809 = 11,326,070,596,540 : x
  2. Step 2: Convert to fraction form
    11,326,070,596,540/16,989,105,894,809 = 11,326,070,596,540/x
  3. Step 3: Cross multiply
    11,326,070,596,540x = 16,989,105,894,809 × 11,326,070,596,540
  4. Step 4: Simplify right side
    11,326,070,596,540x = 192,419,812,736,700,608,826,834,944
  5. Step 5: Solve for x
    x = 192,419,812,736,700,608,826,834,944/11,326,070,596,540
  6. Step 6: Final answer
    x = 16,989,105,894,809

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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.