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Finding the Fourth Proportional to 564,052,756.80, 844,287,544.80 and 402,809,620.80

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Solution

The fourth proportional to 564,052,756.80, 844,287,544.80 and 402,809,620.80 is: 602,934,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,052,756.80 : 844,287,544.80 = 402,809,620.80 : x
  2. Step 2: Convert to fraction form
    564,052,756.80/844,287,544.80 = 402,809,620.80/x
  3. Step 3: Cross multiply
    564,052,756.80x = 844,287,544.80 × 402,809,620.80
  4. Step 4: Simplify right side
    564,052,756.80x = 340,087,145,767,051,008
  5. Step 5: Solve for x
    x = 340,087,145,767,051,008/564,052,756.80
  6. Step 6: Final answer
    x = 602,934,994.41

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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.