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Finding the Fourth Proportional to 2,671,167,415,511, 4,006,751,123,266.50 and 2,671,167,415,511

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Solution

The fourth proportional to 2,671,167,415,511, 4,006,751,123,266.50 and 2,671,167,415,511 is: 4,006,751,123,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,167,415,511 : 4,006,751,123,266.50 = 2,671,167,415,511 : x
  2. Step 2: Convert to fraction form
    2,671,167,415,511/4,006,751,123,266.50 = 2,671,167,415,511/x
  3. Step 3: Cross multiply
    2,671,167,415,511x = 4,006,751,123,266.50 × 2,671,167,415,511
  4. Step 4: Simplify right side
    2,671,167,415,511x = 10,702,703,042,531,573,188,526,080
  5. Step 5: Solve for x
    x = 10,702,703,042,531,573,188,526,080/2,671,167,415,511
  6. Step 6: Final answer
    x = 4,006,751,123,266.50

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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.