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Finding the Fourth Proportional to 472,476,390.40, 659,854,515.20 and 472,476,390.40

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Solution

The fourth proportional to 472,476,390.40, 659,854,515.20 and 472,476,390.40 is: 659,854,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,476,390.40 : 659,854,515.20 = 472,476,390.40 : x
  2. Step 2: Convert to fraction form
    472,476,390.40/659,854,515.20 = 472,476,390.40/x
  3. Step 3: Cross multiply
    472,476,390.40x = 659,854,515.20 × 472,476,390.40
  4. Step 4: Simplify right side
    472,476,390.40x = 311,765,679,530,837,952
  5. Step 5: Solve for x
    x = 311,765,679,530,837,952/472,476,390.40
  6. Step 6: Final answer
    x = 659,854,515.20

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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.