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Finding the Fourth Proportional to 898,322,428.40, 1,347,483,642.60 and 766,808,495.60

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Solution

The fourth proportional to 898,322,428.40, 1,347,483,642.60 and 766,808,495.60 is: 1,150,212,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,322,428.40 : 1,347,483,642.60 = 766,808,495.60 : x
  2. Step 2: Convert to fraction form
    898,322,428.40/1,347,483,642.60 = 766,808,495.60/x
  3. Step 3: Cross multiply
    898,322,428.40x = 1,347,483,642.60 × 766,808,495.60
  4. Step 4: Simplify right side
    898,322,428.40x = 1,033,261,904,827,714,048
  5. Step 5: Solve for x
    x = 1,033,261,904,827,714,048/898,322,428.40
  6. Step 6: Final answer
    x = 1,150,212,743.40

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