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Finding the Fourth Proportional to 864,825,866.64, 1,193,453,753.40 and 468,339,783.02

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Solution

The fourth proportional to 864,825,866.64, 1,193,453,753.40 and 468,339,783.02 is: 646,305,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,825,866.64 : 1,193,453,753.40 = 468,339,783.02 : x
  2. Step 2: Convert to fraction form
    864,825,866.64/1,193,453,753.40 = 468,339,783.02/x
  3. Step 3: Cross multiply
    864,825,866.64x = 1,193,453,753.40 × 468,339,783.02
  4. Step 4: Simplify right side
    864,825,866.64x = 558,941,871,905,793,344
  5. Step 5: Solve for x
    x = 558,941,871,905,793,344/864,825,866.64
  6. Step 6: Final answer
    x = 646,305,682.41

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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.