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Finding the Fourth Proportional to 137,640,290,962.65, 206,460,436,443.98 and 137,640,290,962.65

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Solution

The fourth proportional to 137,640,290,962.65, 206,460,436,443.98 and 137,640,290,962.65 is: 206,460,436,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,290,962.65 : 206,460,436,443.98 = 137,640,290,962.65 : x
  2. Step 2: Convert to fraction form
    137,640,290,962.65/206,460,436,443.98 = 137,640,290,962.65/x
  3. Step 3: Cross multiply
    137,640,290,962.65x = 206,460,436,443.98 × 137,640,290,962.65
  4. Step 4: Simplify right side
    137,640,290,962.65x = 28,417,274,544,425,116,106,752
  5. Step 5: Solve for x
    x = 28,417,274,544,425,116,106,752/137,640,290,962.65
  6. Step 6: Final answer
    x = 206,460,436,443.98

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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.