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Finding the Fourth Proportional to 1,100,458,463.16, 1,518,002,039.34 and 687,676,035

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Solution

The fourth proportional to 1,100,458,463.16, 1,518,002,039.34 and 687,676,035 is: 948,598,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,458,463.16 : 1,518,002,039.34 = 687,676,035 : x
  2. Step 2: Convert to fraction form
    1,100,458,463.16/1,518,002,039.34 = 687,676,035/x
  3. Step 3: Cross multiply
    1,100,458,463.16x = 1,518,002,039.34 × 687,676,035
  4. Step 4: Simplify right side
    1,100,458,463.16x = 1,043,893,623,535,245,184
  5. Step 5: Solve for x
    x = 1,043,893,623,535,245,184/1,100,458,463.16
  6. Step 6: Final answer
    x = 948,598,841.74

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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.