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Finding the Fourth Proportional to 839,810,000.30, 1,259,715,000.45 and 409,828,304.30

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Solution

The fourth proportional to 839,810,000.30, 1,259,715,000.45 and 409,828,304.30 is: 614,742,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,810,000.30 : 1,259,715,000.45 = 409,828,304.30 : x
  2. Step 2: Convert to fraction form
    839,810,000.30/1,259,715,000.45 = 409,828,304.30/x
  3. Step 3: Cross multiply
    839,810,000.30x = 1,259,715,000.45 × 409,828,304.30
  4. Step 4: Simplify right side
    839,810,000.30x = 516,266,862,535,697,280
  5. Step 5: Solve for x
    x = 516,266,862,535,697,280/839,810,000.30
  6. Step 6: Final answer
    x = 614,742,456.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.