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Finding the Fourth Proportional to 548,051,308.70, 822,076,963.05 and 548,051,308.70

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Solution

The fourth proportional to 548,051,308.70, 822,076,963.05 and 548,051,308.70 is: 822,076,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,051,308.70 : 822,076,963.05 = 548,051,308.70 : x
  2. Step 2: Convert to fraction form
    548,051,308.70/822,076,963.05 = 548,051,308.70/x
  3. Step 3: Cross multiply
    548,051,308.70x = 822,076,963.05 × 548,051,308.70
  4. Step 4: Simplify right side
    548,051,308.70x = 450,540,355,451,674,048
  5. Step 5: Solve for x
    x = 450,540,355,451,674,048/548,051,308.70
  6. Step 6: Final answer
    x = 822,076,963.05

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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.