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Finding the Fourth Proportional to 72,647,766,043.40, 108,971,649,065.10 and 72,647,766,043.40

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Solution

The fourth proportional to 72,647,766,043.40, 108,971,649,065.10 and 72,647,766,043.40 is: 108,971,649,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647,766,043.40 : 108,971,649,065.10 = 72,647,766,043.40 : x
  2. Step 2: Convert to fraction form
    72,647,766,043.40/108,971,649,065.10 = 72,647,766,043.40/x
  3. Step 3: Cross multiply
    72,647,766,043.40x = 108,971,649,065.10 × 72,647,766,043.40
  4. Step 4: Simplify right side
    72,647,766,043.40x = 7,916,546,866,644,873,379,840
  5. Step 5: Solve for x
    x = 7,916,546,866,644,873,379,840/72,647,766,043.40
  6. Step 6: Final answer
    x = 108,971,649,065.10

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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.