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Finding the Fourth Proportional to 1,016,723,011.02, 1,403,000,754.60 and 570,600,213.48

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Solution

The fourth proportional to 1,016,723,011.02, 1,403,000,754.60 and 570,600,213.48 is: 787,385,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,723,011.02 : 1,403,000,754.60 = 570,600,213.48 : x
  2. Step 2: Convert to fraction form
    1,016,723,011.02/1,403,000,754.60 = 570,600,213.48/x
  3. Step 3: Cross multiply
    1,016,723,011.02x = 1,403,000,754.60 × 570,600,213.48
  4. Step 4: Simplify right side
    1,016,723,011.02x = 800,552,530,087,361,024
  5. Step 5: Solve for x
    x = 800,552,530,087,361,024/1,016,723,011.02
  6. Step 6: Final answer
    x = 787,385,080.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.