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Finding the Fourth Proportional to 90,965,121,208.20, 136,447,681,812.30 and 90,965,121,208.20

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Solution

The fourth proportional to 90,965,121,208.20, 136,447,681,812.30 and 90,965,121,208.20 is: 136,447,681,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,965,121,208.20 : 136,447,681,812.30 = 90,965,121,208.20 : x
  2. Step 2: Convert to fraction form
    90,965,121,208.20/136,447,681,812.30 = 90,965,121,208.20/x
  3. Step 3: Cross multiply
    90,965,121,208.20x = 136,447,681,812.30 × 90,965,121,208.20
  4. Step 4: Simplify right side
    90,965,121,208.20x = 12,411,979,914,633,776,463,872
  5. Step 5: Solve for x
    x = 12,411,979,914,633,776,463,872/90,965,121,208.20
  6. Step 6: Final answer
    x = 136,447,681,812.30

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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.