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Finding the Fourth Proportional to 17,773,814,137.80, 26,660,721,206.70 and 17,773,814,137.80

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Solution

The fourth proportional to 17,773,814,137.80, 26,660,721,206.70 and 17,773,814,137.80 is: 26,660,721,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773,814,137.80 : 26,660,721,206.70 = 17,773,814,137.80 : x
  2. Step 2: Convert to fraction form
    17,773,814,137.80/26,660,721,206.70 = 17,773,814,137.80/x
  3. Step 3: Cross multiply
    17,773,814,137.80x = 26,660,721,206.70 × 17,773,814,137.80
  4. Step 4: Simplify right side
    17,773,814,137.80x = 473,862,703,507,588,710,400
  5. Step 5: Solve for x
    x = 473,862,703,507,588,710,400/17,773,814,137.80
  6. Step 6: Final answer
    x = 26,660,721,206.70

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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.