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Finding the Fourth Proportional to 137,640,288,281.34, 206,460,432,422.01 and 137,640,288,281.34

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Solution

The fourth proportional to 137,640,288,281.34, 206,460,432,422.01 and 137,640,288,281.34 is: 206,460,432,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,288,281.34 : 206,460,432,422.01 = 137,640,288,281.34 : x
  2. Step 2: Convert to fraction form
    137,640,288,281.34/206,460,432,422.01 = 137,640,288,281.34/x
  3. Step 3: Cross multiply
    137,640,288,281.34x = 206,460,432,422.01 × 137,640,288,281.34
  4. Step 4: Simplify right side
    137,640,288,281.34x = 28,417,273,437,255,574,224,896
  5. Step 5: Solve for x
    x = 28,417,273,437,255,574,224,896/137,640,288,281.34
  6. Step 6: Final answer
    x = 206,460,432,422.01

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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.