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Finding the Fourth Proportional to 117,918,145,764.90, 176,877,218,647.35 and 117,918,145,764.90

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Solution

The fourth proportional to 117,918,145,764.90, 176,877,218,647.35 and 117,918,145,764.90 is: 176,877,218,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,918,145,764.90 : 176,877,218,647.35 = 117,918,145,764.90 : x
  2. Step 2: Convert to fraction form
    117,918,145,764.90/176,877,218,647.35 = 117,918,145,764.90/x
  3. Step 3: Cross multiply
    117,918,145,764.90x = 176,877,218,647.35 × 117,918,145,764.90
  4. Step 4: Simplify right side
    117,918,145,764.90x = 20,857,033,650,948,303,486,976
  5. Step 5: Solve for x
    x = 20,857,033,650,948,303,486,976/117,918,145,764.90
  6. Step 6: Final answer
    x = 176,877,218,647.35

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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.