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Finding the Fourth Proportional to 756,029,893,990.20, 1,134,044,840,985.50 and 756,029,893,990.20

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Solution

The fourth proportional to 756,029,893,990.20, 1,134,044,840,985.50 and 756,029,893,990.20 is: 1,134,044,840,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,029,893,990.20 : 1,134,044,840,985.50 = 756,029,893,990.20 : x
  2. Step 2: Convert to fraction form
    756,029,893,990.20/1,134,044,840,985.50 = 756,029,893,990.20/x
  3. Step 3: Cross multiply
    756,029,893,990.20x = 1,134,044,840,985.50 × 756,029,893,990.20
  4. Step 4: Simplify right side
    756,029,893,990.20x = 857,371,800,910,400,730,431,488
  5. Step 5: Solve for x
    x = 857,371,800,910,400,730,431,488/756,029,893,990.20
  6. Step 6: Final answer
    x = 1,134,044,840,985.50

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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.