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Finding the Fourth Proportional to 1,449,793,598.20, 2,174,690,397.30 and 1,449,793,598.20

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Solution

The fourth proportional to 1,449,793,598.20, 2,174,690,397.30 and 1,449,793,598.20 is: 2,174,690,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,793,598.20 : 2,174,690,397.30 = 1,449,793,598.20 : x
  2. Step 2: Convert to fraction form
    1,449,793,598.20/2,174,690,397.30 = 1,449,793,598.20/x
  3. Step 3: Cross multiply
    1,449,793,598.20x = 2,174,690,397.30 × 1,449,793,598.20
  4. Step 4: Simplify right side
    1,449,793,598.20x = 3,152,852,216,072,555,008
  5. Step 5: Solve for x
    x = 3,152,852,216,072,555,008/1,449,793,598.20
  6. Step 6: Final answer
    x = 2,174,690,397.30

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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.