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Finding the Fourth Proportional to 563,761,837.80, 845,642,756.70 and 563,761,837.80

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Solution

The fourth proportional to 563,761,837.80, 845,642,756.70 and 563,761,837.80 is: 845,642,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,761,837.80 : 845,642,756.70 = 563,761,837.80 : x
  2. Step 2: Convert to fraction form
    563,761,837.80/845,642,756.70 = 563,761,837.80/x
  3. Step 3: Cross multiply
    563,761,837.80x = 845,642,756.70 × 563,761,837.80
  4. Step 4: Simplify right side
    563,761,837.80x = 476,741,114,639,450,240
  5. Step 5: Solve for x
    x = 476,741,114,639,450,240/563,761,837.80
  6. Step 6: Final answer
    x = 845,642,756.70

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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.