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Finding the Fourth Proportional to 977,257,976.80, 1,465,886,965.20 and 589,518,623.20

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Solution

The fourth proportional to 977,257,976.80, 1,465,886,965.20 and 589,518,623.20 is: 884,277,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,257,976.80 : 1,465,886,965.20 = 589,518,623.20 : x
  2. Step 2: Convert to fraction form
    977,257,976.80/1,465,886,965.20 = 589,518,623.20/x
  3. Step 3: Cross multiply
    977,257,976.80x = 1,465,886,965.20 × 589,518,623.20
  4. Step 4: Simplify right side
    977,257,976.80x = 864,167,665,491,530,368
  5. Step 5: Solve for x
    x = 864,167,665,491,530,368/977,257,976.80
  6. Step 6: Final answer
    x = 884,277,934.80

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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.