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Finding the Fourth Proportional to 918,676,835.80, 1,378,015,253.70 and 918,676,835.80

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Solution

The fourth proportional to 918,676,835.80, 1,378,015,253.70 and 918,676,835.80 is: 1,378,015,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,676,835.80 : 1,378,015,253.70 = 918,676,835.80 : x
  2. Step 2: Convert to fraction form
    918,676,835.80/1,378,015,253.70 = 918,676,835.80/x
  3. Step 3: Cross multiply
    918,676,835.80x = 1,378,015,253.70 × 918,676,835.80
  4. Step 4: Simplify right side
    918,676,835.80x = 1,265,950,692,953,250,304
  5. Step 5: Solve for x
    x = 1,265,950,692,953,250,304/918,676,835.80
  6. Step 6: Final answer
    x = 1,378,015,253.70

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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.