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Finding the Fourth Proportional to 3,270,842,208,064.40, 4,906,263,312,097 and 3,270,842,208,064.40

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Solution

The fourth proportional to 3,270,842,208,064.40, 4,906,263,312,097 and 3,270,842,208,064.40 is: 4,906,263,312,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,842,208,064.40 : 4,906,263,312,097 = 3,270,842,208,064.40 : x
  2. Step 2: Convert to fraction form
    3,270,842,208,064.40/4,906,263,312,097 = 3,270,842,208,064.40/x
  3. Step 3: Cross multiply
    3,270,842,208,064.40x = 4,906,263,312,097 × 3,270,842,208,064.40
  4. Step 4: Simplify right side
    3,270,842,208,064.40x = 16,047,613,125,084,706,573,910,016
  5. Step 5: Solve for x
    x = 16,047,613,125,084,706,573,910,016/3,270,842,208,064.40
  6. Step 6: Final answer
    x = 4,906,263,312,097

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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.