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Finding the Fourth Proportional to 546,069,969.90, 819,104,954.85 and 546,069,969.90

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Solution

The fourth proportional to 546,069,969.90, 819,104,954.85 and 546,069,969.90 is: 819,104,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,069,969.90 : 819,104,954.85 = 546,069,969.90 : x
  2. Step 2: Convert to fraction form
    546,069,969.90/819,104,954.85 = 546,069,969.90/x
  3. Step 3: Cross multiply
    546,069,969.90x = 819,104,954.85 × 546,069,969.90
  4. Step 4: Simplify right side
    546,069,969.90x = 447,288,618,039,880,384
  5. Step 5: Solve for x
    x = 447,288,618,039,880,384/546,069,969.90
  6. Step 6: Final answer
    x = 819,104,954.85

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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.