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Finding the Fourth Proportional to 546,088,978.80, 819,133,468.20 and 362,422,969.20

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Solution

The fourth proportional to 546,088,978.80, 819,133,468.20 and 362,422,969.20 is: 543,634,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,088,978.80 : 819,133,468.20 = 362,422,969.20 : x
  2. Step 2: Convert to fraction form
    546,088,978.80/819,133,468.20 = 362,422,969.20/x
  3. Step 3: Cross multiply
    546,088,978.80x = 819,133,468.20 × 362,422,969.20
  4. Step 4: Simplify right side
    546,088,978.80x = 296,872,783,716,137,792
  5. Step 5: Solve for x
    x = 296,872,783,716,137,792/546,088,978.80
  6. Step 6: Final answer
    x = 543,634,453.80

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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.