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Finding the Fourth Proportional to 546,368,338.80, 754,006,268.16 and 298,849,724.64

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Solution

The fourth proportional to 546,368,338.80, 754,006,268.16 and 298,849,724.64 is: 412,422,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,368,338.80 : 754,006,268.16 = 298,849,724.64 : x
  2. Step 2: Convert to fraction form
    546,368,338.80/754,006,268.16 = 298,849,724.64/x
  3. Step 3: Cross multiply
    546,368,338.80x = 754,006,268.16 × 298,849,724.64
  4. Step 4: Simplify right side
    546,368,338.80x = 225,334,565,616,449,984
  5. Step 5: Solve for x
    x = 225,334,565,616,449,984/546,368,338.80
  6. Step 6: Final answer
    x = 412,422,444.01

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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.