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Finding the Fourth Proportional to 1,760,502,652.40, 2,640,753,978.60 and 944,209,276.40

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Solution

The fourth proportional to 1,760,502,652.40, 2,640,753,978.60 and 944,209,276.40 is: 1,416,313,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,502,652.40 : 2,640,753,978.60 = 944,209,276.40 : x
  2. Step 2: Convert to fraction form
    1,760,502,652.40/2,640,753,978.60 = 944,209,276.40/x
  3. Step 3: Cross multiply
    1,760,502,652.40x = 2,640,753,978.60 × 944,209,276.40
  4. Step 4: Simplify right side
    1,760,502,652.40x = 2,493,424,403,284,326,912
  5. Step 5: Solve for x
    x = 2,493,424,403,284,326,912/1,760,502,652.40
  6. Step 6: Final answer
    x = 1,416,313,914.60

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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.