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Finding the Fourth Proportional to 440,348,827.60, 660,523,241.40 and 133,640,448.40

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Solution

The fourth proportional to 440,348,827.60, 660,523,241.40 and 133,640,448.40 is: 200,460,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,348,827.60 : 660,523,241.40 = 133,640,448.40 : x
  2. Step 2: Convert to fraction form
    440,348,827.60/660,523,241.40 = 133,640,448.40/x
  3. Step 3: Cross multiply
    440,348,827.60x = 660,523,241.40 × 133,640,448.40
  4. Step 4: Simplify right side
    440,348,827.60x = 88,272,622,159,317,440
  5. Step 5: Solve for x
    x = 88,272,622,159,317,440/440,348,827.60
  6. Step 6: Final answer
    x = 200,460,672.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.