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Finding the Fourth Proportional to 143,382,798,007.20, 200,344,096,389.60 and 143,382,798,007.20

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Solution

The fourth proportional to 143,382,798,007.20, 200,344,096,389.60 and 143,382,798,007.20 is: 200,344,096,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,382,798,007.20 : 200,344,096,389.60 = 143,382,798,007.20 : x
  2. Step 2: Convert to fraction form
    143,382,798,007.20/200,344,096,389.60 = 143,382,798,007.20/x
  3. Step 3: Cross multiply
    143,382,798,007.20x = 200,344,096,389.60 × 143,382,798,007.20
  4. Step 4: Simplify right side
    143,382,798,007.20x = 28,725,897,104,565,026,684,928
  5. Step 5: Solve for x
    x = 28,725,897,104,565,026,684,928/143,382,798,007.20
  6. Step 6: Final answer
    x = 200,344,096,389.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.