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Finding the Fourth Proportional to 1,016,723,003.03, 1,403,000,743.53 and 570,600,205.47

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Solution

The fourth proportional to 1,016,723,003.03, 1,403,000,743.53 and 570,600,205.47 is: 787,385,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,723,003.03 : 1,403,000,743.53 = 570,600,205.47 : x
  2. Step 2: Convert to fraction form
    1,016,723,003.03/1,403,000,743.53 = 570,600,205.47/x
  3. Step 3: Cross multiply
    1,016,723,003.03x = 1,403,000,743.53 × 570,600,205.47
  4. Step 4: Simplify right side
    1,016,723,003.03x = 800,552,512,532,780,800
  5. Step 5: Solve for x
    x = 800,552,512,532,780,800/1,016,723,003.03
  6. Step 6: Final answer
    x = 787,385,069.63

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1.5x scale

Why These Related Problems?

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