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Finding the Fourth Proportional to 10,109,664,008.70, 15,137,286,233.85 and 10,109,664,008.70

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Solution

The fourth proportional to 10,109,664,008.70, 15,137,286,233.85 and 10,109,664,008.70 is: 15,137,286,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109,664,008.70 : 15,137,286,233.85 = 10,109,664,008.70 : x
  2. Step 2: Convert to fraction form
    10,109,664,008.70/15,137,286,233.85 = 10,109,664,008.70/x
  3. Step 3: Cross multiply
    10,109,664,008.70x = 15,137,286,233.85 × 10,109,664,008.70
  4. Step 4: Simplify right side
    10,109,664,008.70x = 153,032,877,827,743,318,016
  5. Step 5: Solve for x
    x = 153,032,877,827,743,318,016/10,109,664,008.70
  6. Step 6: Final answer
    x = 15,137,286,233.85

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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.