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Finding the Fourth Proportional to 774,734,456.99, 1,069,124,848.34 and 422,302,714.83

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Solution

The fourth proportional to 774,734,456.99, 1,069,124,848.34 and 422,302,714.83 is: 582,773,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,734,456.99 : 1,069,124,848.34 = 422,302,714.83 : x
  2. Step 2: Convert to fraction form
    774,734,456.99/1,069,124,848.34 = 422,302,714.83/x
  3. Step 3: Cross multiply
    774,734,456.99x = 1,069,124,848.34 × 422,302,714.83
  4. Step 4: Simplify right side
    774,734,456.99x = 451,494,325,944,082,496
  5. Step 5: Solve for x
    x = 451,494,325,944,082,496/774,734,456.99
  6. Step 6: Final answer
    x = 582,773,002.89

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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.