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Finding the Fourth Proportional to 11,832,471,050,468, 17,748,706,575,703 and 11,832,471,050,468

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Solution

The fourth proportional to 11,832,471,050,468, 17,748,706,575,703 and 11,832,471,050,468 is: 17,748,706,575,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832,471,050,468 : 17,748,706,575,703 = 11,832,471,050,468 : x
  2. Step 2: Convert to fraction form
    11,832,471,050,468/17,748,706,575,703 = 11,832,471,050,468/x
  3. Step 3: Cross multiply
    11,832,471,050,468x = 17,748,706,575,703 × 11,832,471,050,468
  4. Step 4: Simplify right side
    11,832,471,050,468x = 210,011,056,740,256,772,228,382,720
  5. Step 5: Solve for x
    x = 210,011,056,740,256,772,228,382,720/11,832,471,050,468
  6. Step 6: Final answer
    x = 17,748,706,575,703

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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.