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Finding the Fourth Proportional to 746,627,785.60, 1,042,860,252.80 and 746,627,785.60

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Solution

The fourth proportional to 746,627,785.60, 1,042,860,252.80 and 746,627,785.60 is: 1,042,860,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,627,785.60 : 1,042,860,252.80 = 746,627,785.60 : x
  2. Step 2: Convert to fraction form
    746,627,785.60/1,042,860,252.80 = 746,627,785.60/x
  3. Step 3: Cross multiply
    746,627,785.60x = 1,042,860,252.80 × 746,627,785.60
  4. Step 4: Simplify right side
    746,627,785.60x = 778,628,441,238,320,128
  5. Step 5: Solve for x
    x = 778,628,441,238,320,128/746,627,785.60
  6. Step 6: Final answer
    x = 1,042,860,252.80

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Similar ratio
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1.5x scale

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.