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Finding the Fourth Proportional to 660,052,401,611.20, 990,078,602,416.80 and 660,052,401,611.20

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Solution

The fourth proportional to 660,052,401,611.20, 990,078,602,416.80 and 660,052,401,611.20 is: 990,078,602,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,052,401,611.20 : 990,078,602,416.80 = 660,052,401,611.20 : x
  2. Step 2: Convert to fraction form
    660,052,401,611.20/990,078,602,416.80 = 660,052,401,611.20/x
  3. Step 3: Cross multiply
    660,052,401,611.20x = 990,078,602,416.80 × 660,052,401,611.20
  4. Step 4: Simplify right side
    660,052,401,611.20x = 653,503,759,309,069,266,976,768
  5. Step 5: Solve for x
    x = 653,503,759,309,069,266,976,768/660,052,401,611.20
  6. Step 6: Final answer
    x = 990,078,602,416.80

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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.