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Finding the Fourth Proportional to 832,772,067.40, 1,247,646,446.70 and 678,583,318.60

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Solution

The fourth proportional to 832,772,067.40, 1,247,646,446.70 and 678,583,318.60 is: 1,016,643,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,772,067.40 : 1,247,646,446.70 = 678,583,318.60 : x
  2. Step 2: Convert to fraction form
    832,772,067.40/1,247,646,446.70 = 678,583,318.60/x
  3. Step 3: Cross multiply
    832,772,067.40x = 1,247,646,446.70 × 678,583,318.60
  4. Step 4: Simplify right side
    832,772,067.40x = 846,632,066,241,184,128
  5. Step 5: Solve for x
    x = 846,632,066,241,184,128/832,772,067.40
  6. Step 6: Final answer
    x = 1,016,643,208.13

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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.