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Finding the Fourth Proportional to 746,884,906.80, 1,047,169,419.60 and 746,884,906.80

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Solution

The fourth proportional to 746,884,906.80, 1,047,169,419.60 and 746,884,906.80 is: 1,047,169,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,884,906.80 : 1,047,169,419.60 = 746,884,906.80 : x
  2. Step 2: Convert to fraction form
    746,884,906.80/1,047,169,419.60 = 746,884,906.80/x
  3. Step 3: Cross multiply
    746,884,906.80x = 1,047,169,419.60 × 746,884,906.80
  4. Step 4: Simplify right side
    746,884,906.80x = 782,115,034,361,756,032
  5. Step 5: Solve for x
    x = 782,115,034,361,756,032/746,884,906.80
  6. Step 6: Final answer
    x = 1,047,169,419.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.