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Finding the Fourth Proportional to 977,201,997.20, 1,465,802,995.80 and 977,201,997.20

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Solution

The fourth proportional to 977,201,997.20, 1,465,802,995.80 and 977,201,997.20 is: 1,465,802,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,201,997.20 : 1,465,802,995.80 = 977,201,997.20 : x
  2. Step 2: Convert to fraction form
    977,201,997.20/1,465,802,995.80 = 977,201,997.20/x
  3. Step 3: Cross multiply
    977,201,997.20x = 1,465,802,995.80 × 977,201,997.20
  4. Step 4: Simplify right side
    977,201,997.20x = 1,432,385,614,997,503,232
  5. Step 5: Solve for x
    x = 1,432,385,614,997,503,232/977,201,997.20
  6. Step 6: Final answer
    x = 1,465,802,995.80

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1.5x scale

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.