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Finding the Fourth Proportional to 316,980,645.60, 442,865,911.20 and 316,980,645.60

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Solution

The fourth proportional to 316,980,645.60, 442,865,911.20 and 316,980,645.60 is: 442,865,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980,645.60 : 442,865,911.20 = 316,980,645.60 : x
  2. Step 2: Convert to fraction form
    316,980,645.60/442,865,911.20 = 316,980,645.60/x
  3. Step 3: Cross multiply
    316,980,645.60x = 442,865,911.20 × 316,980,645.60
  4. Step 4: Simplify right side
    316,980,645.60x = 140,379,922,446,408,272
  5. Step 5: Solve for x
    x = 140,379,922,446,408,272/316,980,645.60
  6. Step 6: Final answer
    x = 442,865,911.20

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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.