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Finding the Fourth Proportional to 977,201,635.20, 1,465,802,452.80 and 977,201,635.20

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Solution

The fourth proportional to 977,201,635.20, 1,465,802,452.80 and 977,201,635.20 is: 1,465,802,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,201,635.20 : 1,465,802,452.80 = 977,201,635.20 : x
  2. Step 2: Convert to fraction form
    977,201,635.20/1,465,802,452.80 = 977,201,635.20/x
  3. Step 3: Cross multiply
    977,201,635.20x = 1,465,802,452.80 × 977,201,635.20
  4. Step 4: Simplify right side
    977,201,635.20x = 1,432,384,553,756,330,752
  5. Step 5: Solve for x
    x = 1,432,384,553,756,330,752/977,201,635.20
  6. Step 6: Final answer
    x = 1,465,802,452.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.