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Finding the Fourth Proportional to 1,062,726,643.20, 1,594,388,563.20 and 517,485,964.80

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Solution

The fourth proportional to 1,062,726,643.20, 1,594,388,563.20 and 517,485,964.80 is: 776,374,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,726,643.20 : 1,594,388,563.20 = 517,485,964.80 : x
  2. Step 2: Convert to fraction form
    1,062,726,643.20/1,594,388,563.20 = 517,485,964.80/x
  3. Step 3: Cross multiply
    1,062,726,643.20x = 1,594,388,563.20 × 517,485,964.80
  4. Step 4: Simplify right side
    1,062,726,643.20x = 825,073,703,893,637,760
  5. Step 5: Solve for x
    x = 825,073,703,893,637,760/1,062,726,643.20
  6. Step 6: Final answer
    x = 776,374,347.23

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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.