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Finding the Fourth Proportional to 1,023,068,375.83, 1,411,776,391.19 and 577,005,078.34

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Solution

The fourth proportional to 1,023,068,375.83, 1,411,776,391.19 and 577,005,078.34 is: 796,234,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,068,375.83 : 1,411,776,391.19 = 577,005,078.34 : x
  2. Step 2: Convert to fraction form
    1,023,068,375.83/1,411,776,391.19 = 577,005,078.34/x
  3. Step 3: Cross multiply
    1,023,068,375.83x = 1,411,776,391.19 × 577,005,078.34
  4. Step 4: Simplify right side
    1,023,068,375.83x = 814,602,147,197,148,544
  5. Step 5: Solve for x
    x = 814,602,147,197,148,544/1,023,068,375.83
  6. Step 6: Final answer
    x = 796,234,314.78

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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.