Home / 206,684,678,316.30-310,027,017,474.45-164,843,265,504.30

Finding the Fourth Proportional to 206,684,678,316.30, 310,027,017,474.45 and 164,843,265,504.30

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Solution

The fourth proportional to 206,684,678,316.30, 310,027,017,474.45 and 164,843,265,504.30 is: 247,264,898,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684,678,316.30 : 310,027,017,474.45 = 164,843,265,504.30 : x
  2. Step 2: Convert to fraction form
    206,684,678,316.30/310,027,017,474.45 = 164,843,265,504.30/x
  3. Step 3: Cross multiply
    206,684,678,316.30x = 310,027,017,474.45 × 164,843,265,504.30
  4. Step 4: Simplify right side
    206,684,678,316.30x = 51,105,865,955,047,012,040,704
  5. Step 5: Solve for x
    x = 51,105,865,955,047,012,040,704/206,684,678,316.30
  6. Step 6: Final answer
    x = 247,264,898,256.45

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Why These Related Problems?

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