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Finding the Fourth Proportional to 838,019,855.10, 1,257,029,782.65 and 838,019,855.10

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Solution

The fourth proportional to 838,019,855.10, 1,257,029,782.65 and 838,019,855.10 is: 1,257,029,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,019,855.10 : 1,257,029,782.65 = 838,019,855.10 : x
  2. Step 2: Convert to fraction form
    838,019,855.10/1,257,029,782.65 = 838,019,855.10/x
  3. Step 3: Cross multiply
    838,019,855.10x = 1,257,029,782.65 × 838,019,855.10
  4. Step 4: Simplify right side
    838,019,855.10x = 1,053,415,916,312,737,664
  5. Step 5: Solve for x
    x = 1,053,415,916,312,737,664/838,019,855.10
  6. Step 6: Final answer
    x = 1,257,029,782.65

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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.