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Finding the Fourth Proportional to 680,510,577.15, 1,020,765,865.73 and 680,510,577.15

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Solution

The fourth proportional to 680,510,577.15, 1,020,765,865.73 and 680,510,577.15 is: 1,020,765,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,510,577.15 : 1,020,765,865.73 = 680,510,577.15 : x
  2. Step 2: Convert to fraction form
    680,510,577.15/1,020,765,865.73 = 680,510,577.15/x
  3. Step 3: Cross multiply
    680,510,577.15x = 1,020,765,865.73 × 680,510,577.15
  4. Step 4: Simplify right side
    680,510,577.15x = 694,641,968,419,539,200
  5. Step 5: Solve for x
    x = 694,641,968,419,539,200/680,510,577.15
  6. Step 6: Final answer
    x = 1,020,765,865.73

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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.