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Finding the Fourth Proportional to 137,905,506,645.80, 206,858,259,968.70 and 137,905,506,645.80

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Solution

The fourth proportional to 137,905,506,645.80, 206,858,259,968.70 and 137,905,506,645.80 is: 206,858,259,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905,506,645.80 : 206,858,259,968.70 = 137,905,506,645.80 : x
  2. Step 2: Convert to fraction form
    137,905,506,645.80/206,858,259,968.70 = 137,905,506,645.80/x
  3. Step 3: Cross multiply
    137,905,506,645.80x = 206,858,259,968.70 × 137,905,506,645.80
  4. Step 4: Simplify right side
    137,905,506,645.80x = 28,526,893,144,852,182,073,344
  5. Step 5: Solve for x
    x = 28,526,893,144,852,182,073,344/137,905,506,645.80
  6. Step 6: Final answer
    x = 206,858,259,968.70

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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.