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Finding the Fourth Proportional to 9,684,036,145.80, 14,526,054,218.70 and 9,684,036,145.80

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Solution

The fourth proportional to 9,684,036,145.80, 14,526,054,218.70 and 9,684,036,145.80 is: 14,526,054,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684,036,145.80 : 14,526,054,218.70 = 9,684,036,145.80 : x
  2. Step 2: Convert to fraction form
    9,684,036,145.80/14,526,054,218.70 = 9,684,036,145.80/x
  3. Step 3: Cross multiply
    9,684,036,145.80x = 14,526,054,218.70 × 9,684,036,145.80
  4. Step 4: Simplify right side
    9,684,036,145.80x = 140,670,834,109,741,367,296
  5. Step 5: Solve for x
    x = 140,670,834,109,741,367,296/9,684,036,145.80
  6. Step 6: Final answer
    x = 14,526,054,218.70

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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.