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Finding the Fourth Proportional to 85,418,496,013.15, 128,127,744,019.73 and 85,418,496,013.15

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Solution

The fourth proportional to 85,418,496,013.15, 128,127,744,019.73 and 85,418,496,013.15 is: 128,127,744,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,418,496,013.15 : 128,127,744,019.73 = 85,418,496,013.15 : x
  2. Step 2: Convert to fraction form
    85,418,496,013.15/128,127,744,019.73 = 85,418,496,013.15/x
  3. Step 3: Cross multiply
    85,418,496,013.15x = 128,127,744,019.73 × 85,418,496,013.15
  4. Step 4: Simplify right side
    85,418,496,013.15x = 10,944,479,191,723,210,178,560
  5. Step 5: Solve for x
    x = 10,944,479,191,723,210,178,560/85,418,496,013.15
  6. Step 6: Final answer
    x = 128,127,744,019.73

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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.