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Finding the Fourth Proportional to 680,614,596.30, 1,020,921,894.45 and 665,498,052.30

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Solution

The fourth proportional to 680,614,596.30, 1,020,921,894.45 and 665,498,052.30 is: 998,247,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,614,596.30 : 1,020,921,894.45 = 665,498,052.30 : x
  2. Step 2: Convert to fraction form
    680,614,596.30/1,020,921,894.45 = 665,498,052.30/x
  3. Step 3: Cross multiply
    680,614,596.30x = 1,020,921,894.45 × 665,498,052.30
  4. Step 4: Simplify right side
    680,614,596.30x = 679,421,532,306,901,120
  5. Step 5: Solve for x
    x = 679,421,532,306,901,120/680,614,596.30
  6. Step 6: Final answer
    x = 998,247,078.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.