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Finding the Fourth Proportional to 774,734,468.02, 1,069,124,863.52 and 422,302,725.84

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Solution

The fourth proportional to 774,734,468.02, 1,069,124,863.52 and 422,302,725.84 is: 582,773,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,734,468.02 : 1,069,124,863.52 = 422,302,725.84 : x
  2. Step 2: Convert to fraction form
    774,734,468.02/1,069,124,863.52 = 422,302,725.84/x
  3. Step 3: Cross multiply
    774,734,468.02x = 1,069,124,863.52 × 422,302,725.84
  4. Step 4: Simplify right side
    774,734,468.02x = 451,494,344,127,813,952
  5. Step 5: Solve for x
    x = 451,494,344,127,813,952/774,734,468.02
  6. Step 6: Final answer
    x = 582,773,018.07

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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.