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Finding the Fourth Proportional to 241,921,242,246.40, 337,906,097,504 and 241,921,242,246.40

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Solution

The fourth proportional to 241,921,242,246.40, 337,906,097,504 and 241,921,242,246.40 is: 337,906,097,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,921,242,246.40 : 337,906,097,504 = 241,921,242,246.40 : x
  2. Step 2: Convert to fraction form
    241,921,242,246.40/337,906,097,504 = 241,921,242,246.40/x
  3. Step 3: Cross multiply
    241,921,242,246.40x = 337,906,097,504 × 241,921,242,246.40
  4. Step 4: Simplify right side
    241,921,242,246.40x = 81,746,662,870,800,838,688,768
  5. Step 5: Solve for x
    x = 81,746,662,870,800,838,688,768/241,921,242,246.40
  6. Step 6: Final answer
    x = 337,906,097,504

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.