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Finding the Fourth Proportional to 142,716,905.90, 200,206,776.10 and 142,716,905.90

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Solution

The fourth proportional to 142,716,905.90, 200,206,776.10 and 142,716,905.90 is: 200,206,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,716,905.90 : 200,206,776.10 = 142,716,905.90 : x
  2. Step 2: Convert to fraction form
    142,716,905.90/200,206,776.10 = 142,716,905.90/x
  3. Step 3: Cross multiply
    142,716,905.90x = 200,206,776.10 × 142,716,905.90
  4. Step 4: Simplify right side
    142,716,905.90x = 28,572,891,625,206,068
  5. Step 5: Solve for x
    x = 28,572,891,625,206,068/142,716,905.90
  6. Step 6: Final answer
    x = 200,206,776.10

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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.