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Finding the Fourth Proportional to 281,717,888,567.40, 422,576,832,851.10 and 281,717,888,567.40

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Solution

The fourth proportional to 281,717,888,567.40, 422,576,832,851.10 and 281,717,888,567.40 is: 422,576,832,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,717,888,567.40 : 422,576,832,851.10 = 281,717,888,567.40 : x
  2. Step 2: Convert to fraction form
    281,717,888,567.40/422,576,832,851.10 = 281,717,888,567.40/x
  3. Step 3: Cross multiply
    281,717,888,567.40x = 422,576,832,851.10 × 281,717,888,567.40
  4. Step 4: Simplify right side
    281,717,888,567.40x = 119,047,453,108,311,005,593,600
  5. Step 5: Solve for x
    x = 119,047,453,108,311,005,593,600/281,717,888,567.40
  6. Step 6: Final answer
    x = 422,576,832,851.10

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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.