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Finding the Fourth Proportional to 563,761,405.20, 845,642,107.80 and 563,761,405.20

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Solution

The fourth proportional to 563,761,405.20, 845,642,107.80 and 563,761,405.20 is: 845,642,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,761,405.20 : 845,642,107.80 = 563,761,405.20 : x
  2. Step 2: Convert to fraction form
    563,761,405.20/845,642,107.80 = 563,761,405.20/x
  3. Step 3: Cross multiply
    563,761,405.20x = 845,642,107.80 × 563,761,405.20
  4. Step 4: Simplify right side
    563,761,405.20x = 476,740,382,989,617,920
  5. Step 5: Solve for x
    x = 476,740,382,989,617,920/563,761,405.20
  6. Step 6: Final answer
    x = 845,642,107.80

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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.