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Finding the Fourth Proportional to 330,026,202,912.15, 495,039,304,368.23 and 330,026,202,912.15

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Solution

The fourth proportional to 330,026,202,912.15, 495,039,304,368.23 and 330,026,202,912.15 is: 495,039,304,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,026,202,912.15 : 495,039,304,368.23 = 330,026,202,912.15 : x
  2. Step 2: Convert to fraction form
    330,026,202,912.15/495,039,304,368.23 = 330,026,202,912.15/x
  3. Step 3: Cross multiply
    330,026,202,912.15x = 495,039,304,368.23 × 330,026,202,912.15
  4. Step 4: Simplify right side
    330,026,202,912.15x = 163,375,941,912,919,072,047,104
  5. Step 5: Solve for x
    x = 163,375,941,912,919,072,047,104/330,026,202,912.15
  6. Step 6: Final answer
    x = 495,039,304,368.23

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1.5x scale

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.