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Finding the Fourth Proportional to 10,056,069,105.70, 15,084,103,658.55 and 10,056,069,105.70

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Solution

The fourth proportional to 10,056,069,105.70, 15,084,103,658.55 and 10,056,069,105.70 is: 15,084,103,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056,069,105.70 : 15,084,103,658.55 = 10,056,069,105.70 : x
  2. Step 2: Convert to fraction form
    10,056,069,105.70/15,084,103,658.55 = 10,056,069,105.70/x
  3. Step 3: Cross multiply
    10,056,069,105.70x = 15,084,103,658.55 × 10,056,069,105.70
  4. Step 4: Simplify right side
    10,056,069,105.70x = 151,686,788,787,920,994,304
  5. Step 5: Solve for x
    x = 151,686,788,787,920,994,304/10,056,069,105.70
  6. Step 6: Final answer
    x = 15,084,103,658.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.