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Finding the Fourth Proportional to 12,397,495,014,013, 18,596,242,521,020 and 12,397,495,014,013

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Solution

The fourth proportional to 12,397,495,014,013, 18,596,242,521,020 and 12,397,495,014,013 is: 18,596,242,521,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397,495,014,013 : 18,596,242,521,020 = 12,397,495,014,013 : x
  2. Step 2: Convert to fraction form
    12,397,495,014,013/18,596,242,521,020 = 12,397,495,014,013/x
  3. Step 3: Cross multiply
    12,397,495,014,013x = 18,596,242,521,020 × 12,397,495,014,013
  4. Step 4: Simplify right side
    12,397,495,014,013x = 230,546,823,933,721,996,330,795,008
  5. Step 5: Solve for x
    x = 230,546,823,933,721,996,330,795,008/12,397,495,014,013
  6. Step 6: Final answer
    x = 18,596,242,521,020

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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.