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Finding the Fourth Proportional to 370,945,505,513.80, 556,418,258,270.70 and 370,945,505,513.80

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Solution

The fourth proportional to 370,945,505,513.80, 556,418,258,270.70 and 370,945,505,513.80 is: 556,418,258,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,945,505,513.80 : 556,418,258,270.70 = 370,945,505,513.80 : x
  2. Step 2: Convert to fraction form
    370,945,505,513.80/556,418,258,270.70 = 370,945,505,513.80/x
  3. Step 3: Cross multiply
    370,945,505,513.80x = 556,418,258,270.70 × 370,945,505,513.80
  4. Step 4: Simplify right side
    370,945,505,513.80x = 206,400,852,091,332,921,917,440
  5. Step 5: Solve for x
    x = 206,400,852,091,332,921,917,440/370,945,505,513.80
  6. Step 6: Final answer
    x = 556,418,258,270.70

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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.