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Finding the Fourth Proportional to 117,822,438,010.20, 176,733,657,015.30 and 117,822,438,010.20

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Solution

The fourth proportional to 117,822,438,010.20, 176,733,657,015.30 and 117,822,438,010.20 is: 176,733,657,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,822,438,010.20 : 176,733,657,015.30 = 117,822,438,010.20 : x
  2. Step 2: Convert to fraction form
    117,822,438,010.20/176,733,657,015.30 = 117,822,438,010.20/x
  3. Step 3: Cross multiply
    117,822,438,010.20x = 176,733,657,015.30 × 117,822,438,010.20
  4. Step 4: Simplify right side
    117,822,438,010.20x = 20,823,190,348,001,129,267,200
  5. Step 5: Solve for x
    x = 20,823,190,348,001,129,267,200/117,822,438,010.20
  6. Step 6: Final answer
    x = 176,733,657,015.30

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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.