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Finding the Fourth Proportional to 1,441,300,874.02, 1,988,941,900.89 and 781,236,980.26

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Solution

The fourth proportional to 1,441,300,874.02, 1,988,941,900.89 and 781,236,980.26 is: 1,078,078,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,300,874.02 : 1,988,941,900.89 = 781,236,980.26 : x
  2. Step 2: Convert to fraction form
    1,441,300,874.02/1,988,941,900.89 = 781,236,980.26/x
  3. Step 3: Cross multiply
    1,441,300,874.02x = 1,988,941,900.89 × 781,236,980.26
  4. Step 4: Simplify right side
    1,441,300,874.02x = 1,553,834,964,563,887,872
  5. Step 5: Solve for x
    x = 1,553,834,964,563,887,872/1,441,300,874.02
  6. Step 6: Final answer
    x = 1,078,078,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.