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Finding the Fourth Proportional to 536,546,693.60, 804,820,040.40 and 264,448,901.60

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Solution

The fourth proportional to 536,546,693.60, 804,820,040.40 and 264,448,901.60 is: 396,673,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,546,693.60 : 804,820,040.40 = 264,448,901.60 : x
  2. Step 2: Convert to fraction form
    536,546,693.60/804,820,040.40 = 264,448,901.60/x
  3. Step 3: Cross multiply
    536,546,693.60x = 804,820,040.40 × 264,448,901.60
  4. Step 4: Simplify right side
    536,546,693.60x = 212,833,775,669,447,616
  5. Step 5: Solve for x
    x = 212,833,775,669,447,616/536,546,693.60
  6. Step 6: Final answer
    x = 396,673,352.40

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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.