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Finding the Fourth Proportional to 772,321,896.70, 1,158,482,845.05 and 772,321,896.70

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Solution

The fourth proportional to 772,321,896.70, 1,158,482,845.05 and 772,321,896.70 is: 1,158,482,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,321,896.70 : 1,158,482,845.05 = 772,321,896.70 : x
  2. Step 2: Convert to fraction form
    772,321,896.70/1,158,482,845.05 = 772,321,896.70/x
  3. Step 3: Cross multiply
    772,321,896.70x = 1,158,482,845.05 × 772,321,896.70
  4. Step 4: Simplify right side
    772,321,896.70x = 894,721,668,183,428,224
  5. Step 5: Solve for x
    x = 894,721,668,183,428,224/772,321,896.70
  6. Step 6: Final answer
    x = 1,158,482,845.05

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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.