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Finding the Fourth Proportional to 680,614,643.80, 1,020,921,965.70 and 665,498,099.80

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Solution

The fourth proportional to 680,614,643.80, 1,020,921,965.70 and 665,498,099.80 is: 998,247,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,614,643.80 : 1,020,921,965.70 = 665,498,099.80 : x
  2. Step 2: Convert to fraction form
    680,614,643.80/1,020,921,965.70 = 665,498,099.80/x
  3. Step 3: Cross multiply
    680,614,643.80x = 1,020,921,965.70 × 665,498,099.80
  4. Step 4: Simplify right side
    680,614,643.80x = 679,421,628,217,430,784
  5. Step 5: Solve for x
    x = 679,421,628,217,430,784/680,614,643.80
  6. Step 6: Final answer
    x = 998,247,149.70

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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.