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Finding the Fourth Proportional to 407,270,673,003.60, 610,906,009,505.40 and 407,270,673,003.60

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Solution

The fourth proportional to 407,270,673,003.60, 610,906,009,505.40 and 407,270,673,003.60 is: 610,906,009,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,270,673,003.60 : 610,906,009,505.40 = 407,270,673,003.60 : x
  2. Step 2: Convert to fraction form
    407,270,673,003.60/610,906,009,505.40 = 407,270,673,003.60/x
  3. Step 3: Cross multiply
    407,270,673,003.60x = 610,906,009,505.40 × 407,270,673,003.60
  4. Step 4: Simplify right side
    407,270,673,003.60x = 248,804,101,633,207,911,317,504
  5. Step 5: Solve for x
    x = 248,804,101,633,207,911,317,504/407,270,673,003.60
  6. Step 6: Final answer
    x = 610,906,009,505.40

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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.