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Finding the Fourth Proportional to 36,640,809.60, 51,229,948.80 and 36,640,809.60

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Solution

The fourth proportional to 36,640,809.60, 51,229,948.80 and 36,640,809.60 is: 51,229,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,640,809.60 : 51,229,948.80 = 36,640,809.60 : x
  2. Step 2: Convert to fraction form
    36,640,809.60/51,229,948.80 = 36,640,809.60/x
  3. Step 3: Cross multiply
    36,640,809.60x = 51,229,948.80 × 36,640,809.60
  4. Step 4: Simplify right side
    36,640,809.60x = 1,877,106,799,798,548.50
  5. Step 5: Solve for x
    x = 1,877,106,799,798,548.50/36,640,809.60
  6. Step 6: Final answer
    x = 51,229,948.80

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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.