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Finding the Fourth Proportional to 546,657,004.80, 819,985,507.20 and 546,657,004.80

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Solution

The fourth proportional to 546,657,004.80, 819,985,507.20 and 546,657,004.80 is: 819,985,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,657,004.80 : 819,985,507.20 = 546,657,004.80 : x
  2. Step 2: Convert to fraction form
    546,657,004.80/819,985,507.20 = 546,657,004.80/x
  3. Step 3: Cross multiply
    546,657,004.80x = 819,985,507.20 × 546,657,004.80
  4. Step 4: Simplify right side
    546,657,004.80x = 448,250,821,345,360,832
  5. Step 5: Solve for x
    x = 448,250,821,345,360,832/546,657,004.80
  6. Step 6: Final answer
    x = 819,985,507.20

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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.