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Finding the Fourth Proportional to 606,809,491.80, 910,214,237.70 and 542,186,266.20

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Solution

The fourth proportional to 606,809,491.80, 910,214,237.70 and 542,186,266.20 is: 813,279,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,809,491.80 : 910,214,237.70 = 542,186,266.20 : x
  2. Step 2: Convert to fraction form
    606,809,491.80/910,214,237.70 = 542,186,266.20/x
  3. Step 3: Cross multiply
    606,809,491.80x = 910,214,237.70 × 542,186,266.20
  4. Step 4: Simplify right side
    606,809,491.80x = 493,505,658,980,642,368
  5. Step 5: Solve for x
    x = 493,505,658,980,642,368/606,809,491.80
  6. Step 6: Final answer
    x = 813,279,399.30

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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.