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Finding the Fourth Proportional to 13,266,219,528,020, 19,899,329,292,030 and 13,266,219,528,020

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Solution

The fourth proportional to 13,266,219,528,020, 19,899,329,292,030 and 13,266,219,528,020 is: 19,899,329,292,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,219,528,020 : 19,899,329,292,030 = 13,266,219,528,020 : x
  2. Step 2: Convert to fraction form
    13,266,219,528,020/19,899,329,292,030 = 13,266,219,528,020/x
  3. Step 3: Cross multiply
    13,266,219,528,020x = 19,899,329,292,030 × 13,266,219,528,020
  4. Step 4: Simplify right side
    13,266,219,528,020x = 263,988,870,848,428,791,149,101,056
  5. Step 5: Solve for x
    x = 263,988,870,848,428,791,149,101,056/13,266,219,528,020
  6. Step 6: Final answer
    x = 19,899,329,292,030

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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.