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Finding the Fourth Proportional to 680,505,144.90, 1,020,757,717.35 and 680,505,144.90

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Solution

The fourth proportional to 680,505,144.90, 1,020,757,717.35 and 680,505,144.90 is: 1,020,757,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,505,144.90 : 1,020,757,717.35 = 680,505,144.90 : x
  2. Step 2: Convert to fraction form
    680,505,144.90/1,020,757,717.35 = 680,505,144.90/x
  3. Step 3: Cross multiply
    680,505,144.90x = 1,020,757,717.35 × 680,505,144.90
  4. Step 4: Simplify right side
    680,505,144.90x = 694,630,878,353,054,976
  5. Step 5: Solve for x
    x = 694,630,878,353,054,976/680,505,144.90
  6. Step 6: Final answer
    x = 1,020,757,717.35

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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.