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Finding the Fourth Proportional to 470,062,080.90, 705,093,121.35 and 470,062,080.90

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Solution

The fourth proportional to 470,062,080.90, 705,093,121.35 and 470,062,080.90 is: 705,093,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,062,080.90 : 705,093,121.35 = 470,062,080.90 : x
  2. Step 2: Convert to fraction form
    470,062,080.90/705,093,121.35 = 470,062,080.90/x
  3. Step 3: Cross multiply
    470,062,080.90x = 705,093,121.35 × 470,062,080.90
  4. Step 4: Simplify right side
    470,062,080.90x = 331,437,539,850,057,216
  5. Step 5: Solve for x
    x = 331,437,539,850,057,216/470,062,080.90
  6. Step 6: Final answer
    x = 705,093,121.35

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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.