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Finding the Fourth Proportional to 980,748,821,106.30, 1,471,123,231,659.40 and 980,748,821,106.30

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Solution

The fourth proportional to 980,748,821,106.30, 1,471,123,231,659.40 and 980,748,821,106.30 is: 1,471,123,231,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,748,821,106.30 : 1,471,123,231,659.40 = 980,748,821,106.30 : x
  2. Step 2: Convert to fraction form
    980,748,821,106.30/1,471,123,231,659.40 = 980,748,821,106.30/x
  3. Step 3: Cross multiply
    980,748,821,106.30x = 1,471,123,231,659.40 × 980,748,821,106.30
  4. Step 4: Simplify right side
    980,748,821,106.30x = 1,442,802,375,152,046,820,032,512
  5. Step 5: Solve for x
    x = 1,442,802,375,152,046,820,032,512/980,748,821,106.30
  6. Step 6: Final answer
    x = 1,471,123,231,659.40

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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.