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Finding the Fourth Proportional to 316,980,905.10, 442,866,274.50 and 316,980,905.10

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Solution

The fourth proportional to 316,980,905.10, 442,866,274.50 and 316,980,905.10 is: 442,866,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980,905.10 : 442,866,274.50 = 316,980,905.10 : x
  2. Step 2: Convert to fraction form
    316,980,905.10/442,866,274.50 = 316,980,905.10/x
  3. Step 3: Cross multiply
    316,980,905.10x = 442,866,274.50 × 316,980,905.10
  4. Step 4: Simplify right side
    316,980,905.10x = 140,380,152,529,275,056
  5. Step 5: Solve for x
    x = 140,380,152,529,275,056/316,980,905.10
  6. Step 6: Final answer
    x = 442,866,274.50

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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.