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Finding the Fourth Proportional to 866,958,936.96, 1,196,406,465.24 and 470,481,840.40

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Solution

The fourth proportional to 866,958,936.96, 1,196,406,465.24 and 470,481,840.40 is: 649,266,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,958,936.96 : 1,196,406,465.24 = 470,481,840.40 : x
  2. Step 2: Convert to fraction form
    866,958,936.96/1,196,406,465.24 = 470,481,840.40/x
  3. Step 3: Cross multiply
    866,958,936.96x = 1,196,406,465.24 × 470,481,840.40
  4. Step 4: Simplify right side
    866,958,936.96x = 562,887,515,632,573,824
  5. Step 5: Solve for x
    x = 562,887,515,632,573,824/866,958,936.96
  6. Step 6: Final answer
    x = 649,266,639.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.