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Finding the Fourth Proportional to 13,266,219,528,026, 19,899,329,292,042 and 13,266,219,528,026

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Solution

The fourth proportional to 13,266,219,528,026, 19,899,329,292,042 and 13,266,219,528,026 is: 19,899,329,292,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,219,528,026 : 19,899,329,292,042 = 13,266,219,528,026 : x
  2. Step 2: Convert to fraction form
    13,266,219,528,026/19,899,329,292,042 = 13,266,219,528,026/x
  3. Step 3: Cross multiply
    13,266,219,528,026x = 19,899,329,292,042 × 13,266,219,528,026
  4. Step 4: Simplify right side
    13,266,219,528,026x = 263,988,870,848,707,379,907,788,800
  5. Step 5: Solve for x
    x = 263,988,870,848,707,379,907,788,800/13,266,219,528,026
  6. Step 6: Final answer
    x = 19,899,329,292,042

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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.