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Finding the Fourth Proportional to 316,980,944.60, 442,866,329.80 and 316,980,944.60

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Solution

The fourth proportional to 316,980,944.60, 442,866,329.80 and 316,980,944.60 is: 442,866,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980,944.60 : 442,866,329.80 = 316,980,944.60 : x
  2. Step 2: Convert to fraction form
    316,980,944.60/442,866,329.80 = 316,980,944.60/x
  3. Step 3: Cross multiply
    316,980,944.60x = 442,866,329.80 × 316,980,944.60
  4. Step 4: Simplify right side
    316,980,944.60x = 140,380,187,551,539,136
  5. Step 5: Solve for x
    x = 140,380,187,551,539,136/316,980,944.60
  6. Step 6: Final answer
    x = 442,866,329.80

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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.