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Finding the Fourth Proportional to 832,719,057.12, 1,149,159,143.52 and 461,447,288.64

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Solution

The fourth proportional to 832,719,057.12, 1,149,159,143.52 and 461,447,288.64 is: 636,801,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,719,057.12 : 1,149,159,143.52 = 461,447,288.64 : x
  2. Step 2: Convert to fraction form
    832,719,057.12/1,149,159,143.52 = 461,447,288.64/x
  3. Step 3: Cross multiply
    832,719,057.12x = 1,149,159,143.52 × 461,447,288.64
  4. Step 4: Simplify right side
    832,719,057.12x = 530,276,370,993,168,576
  5. Step 5: Solve for x
    x = 530,276,370,993,168,576/832,719,057.12
  6. Step 6: Final answer
    x = 636,801,051.28

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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.