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Finding the Fourth Proportional to 412,126,543.80, 578,507,711.40 and 412,126,543.80

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Solution

The fourth proportional to 412,126,543.80, 578,507,711.40 and 412,126,543.80 is: 578,507,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,126,543.80 : 578,507,711.40 = 412,126,543.80 : x
  2. Step 2: Convert to fraction form
    412,126,543.80/578,507,711.40 = 412,126,543.80/x
  3. Step 3: Cross multiply
    412,126,543.80x = 578,507,711.40 × 412,126,543.80
  4. Step 4: Simplify right side
    412,126,543.80x = 238,418,383,660,929,856
  5. Step 5: Solve for x
    x = 238,418,383,660,929,856/412,126,543.80
  6. Step 6: Final answer
    x = 578,507,711.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.