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Finding the Fourth Proportional to 977,446,739.80, 1,466,170,109.70 and 977,446,739.80

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Solution

The fourth proportional to 977,446,739.80, 1,466,170,109.70 and 977,446,739.80 is: 1,466,170,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,446,739.80 : 1,466,170,109.70 = 977,446,739.80 : x
  2. Step 2: Convert to fraction form
    977,446,739.80/1,466,170,109.70 = 977,446,739.80/x
  3. Step 3: Cross multiply
    977,446,739.80x = 1,466,170,109.70 × 977,446,739.80
  4. Step 4: Simplify right side
    977,446,739.80x = 1,433,103,193,718,473,216
  5. Step 5: Solve for x
    x = 1,433,103,193,718,473,216/977,446,739.80
  6. Step 6: Final answer
    x = 1,466,170,109.70

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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.