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Finding the Fourth Proportional to 919,391,998.90, 1,379,087,998.35 and 919,391,998.90

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Solution

The fourth proportional to 919,391,998.90, 1,379,087,998.35 and 919,391,998.90 is: 1,379,087,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,391,998.90 : 1,379,087,998.35 = 919,391,998.90 : x
  2. Step 2: Convert to fraction form
    919,391,998.90/1,379,087,998.35 = 919,391,998.90/x
  3. Step 3: Cross multiply
    919,391,998.90x = 1,379,087,998.35 × 919,391,998.90
  4. Step 4: Simplify right side
    919,391,998.90x = 1,267,922,471,462,006,272
  5. Step 5: Solve for x
    x = 1,267,922,471,462,006,272/919,391,998.90
  6. Step 6: Final answer
    x = 1,379,087,998.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.