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Finding the Fourth Proportional to 660,052,368,086.40, 990,078,552,129.60 and 660,052,368,086.40

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Solution

The fourth proportional to 660,052,368,086.40, 990,078,552,129.60 and 660,052,368,086.40 is: 990,078,552,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,052,368,086.40 : 990,078,552,129.60 = 660,052,368,086.40 : x
  2. Step 2: Convert to fraction form
    660,052,368,086.40/990,078,552,129.60 = 660,052,368,086.40/x
  3. Step 3: Cross multiply
    660,052,368,086.40x = 990,078,552,129.60 × 660,052,368,086.40
  4. Step 4: Simplify right side
    660,052,368,086.40x = 653,503,692,924,696,725,028,864
  5. Step 5: Solve for x
    x = 653,503,692,924,696,725,028,864/660,052,368,086.40
  6. Step 6: Final answer
    x = 990,078,552,129.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.