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Finding the Fourth Proportional to 828,656,576.92, 1,143,375,368.61 and 476,164,466.29

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Solution

The fourth proportional to 828,656,576.92, 1,143,375,368.61 and 476,164,466.29 is: 657,008,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,656,576.92 : 1,143,375,368.61 = 476,164,466.29 : x
  2. Step 2: Convert to fraction form
    828,656,576.92/1,143,375,368.61 = 476,164,466.29/x
  3. Step 3: Cross multiply
    828,656,576.92x = 1,143,375,368.61 × 476,164,466.29
  4. Step 4: Simplify right side
    828,656,576.92x = 544,434,722,163,312,640
  5. Step 5: Solve for x
    x = 544,434,722,163,312,640/828,656,576.92
  6. Step 6: Final answer
    x = 657,008,871.14

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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.