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Finding the Fourth Proportional to 1,300,359,322.54, 1,794,495,865.22 and 705,643,806.88

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Solution

The fourth proportional to 1,300,359,322.54, 1,794,495,865.22 and 705,643,806.88 is: 973,788,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,359,322.54 : 1,794,495,865.22 = 705,643,806.88 : x
  2. Step 2: Convert to fraction form
    1,300,359,322.54/1,794,495,865.22 = 705,643,806.88/x
  3. Step 3: Cross multiply
    1,300,359,322.54x = 1,794,495,865.22 × 705,643,806.88
  4. Step 4: Simplify right side
    1,300,359,322.54x = 1,266,274,893,764,260,096
  5. Step 5: Solve for x
    x = 1,266,274,893,764,260,096/1,300,359,322.54
  6. Step 6: Final answer
    x = 973,788,453.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.