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Finding the Fourth Proportional to 72,647,766,041.15, 108,971,649,061.73 and 72,647,766,041.15

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Solution

The fourth proportional to 72,647,766,041.15, 108,971,649,061.73 and 72,647,766,041.15 is: 108,971,649,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647,766,041.15 : 108,971,649,061.73 = 72,647,766,041.15 : x
  2. Step 2: Convert to fraction form
    72,647,766,041.15/108,971,649,061.73 = 72,647,766,041.15/x
  3. Step 3: Cross multiply
    72,647,766,041.15x = 108,971,649,061.73 × 72,647,766,041.15
  4. Step 4: Simplify right side
    72,647,766,041.15x = 7,916,546,866,154,863,329,280
  5. Step 5: Solve for x
    x = 7,916,546,866,154,863,329,280/72,647,766,041.15
  6. Step 6: Final answer
    x = 108,971,649,061.73

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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.