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Finding the Fourth Proportional to 422,640,903.30, 590,487,941.10 and 422,640,903.30

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Solution

The fourth proportional to 422,640,903.30, 590,487,941.10 and 422,640,903.30 is: 590,487,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640,903.30 : 590,487,941.10 = 422,640,903.30 : x
  2. Step 2: Convert to fraction form
    422,640,903.30/590,487,941.10 = 422,640,903.30/x
  3. Step 3: Cross multiply
    422,640,903.30x = 590,487,941.10 × 422,640,903.30
  4. Step 4: Simplify right side
    422,640,903.30x = 249,564,356,814,261,216
  5. Step 5: Solve for x
    x = 249,564,356,814,261,216/422,640,903.30
  6. Step 6: Final answer
    x = 590,487,941.10

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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.