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Finding the Fourth Proportional to 405,950,976,010.60, 608,926,464,015.90 and 405,950,976,010.60

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Solution

The fourth proportional to 405,950,976,010.60, 608,926,464,015.90 and 405,950,976,010.60 is: 608,926,464,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,950,976,010.60 : 608,926,464,015.90 = 405,950,976,010.60 : x
  2. Step 2: Convert to fraction form
    405,950,976,010.60/608,926,464,015.90 = 405,950,976,010.60/x
  3. Step 3: Cross multiply
    405,950,976,010.60x = 608,926,464,015.90 × 405,950,976,010.60
  4. Step 4: Simplify right side
    405,950,976,010.60x = 247,194,292,385,938,101,239,808
  5. Step 5: Solve for x
    x = 247,194,292,385,938,101,239,808/405,950,976,010.60
  6. Step 6: Final answer
    x = 608,926,464,015.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.