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Finding the Fourth Proportional to 109,188,175,087.80, 163,782,262,631.70 and 109,188,175,087.80

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Solution

The fourth proportional to 109,188,175,087.80, 163,782,262,631.70 and 109,188,175,087.80 is: 163,782,262,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,188,175,087.80 : 163,782,262,631.70 = 109,188,175,087.80 : x
  2. Step 2: Convert to fraction form
    109,188,175,087.80/163,782,262,631.70 = 109,188,175,087.80/x
  3. Step 3: Cross multiply
    109,188,175,087.80x = 163,782,262,631.70 × 109,188,175,087.80
  4. Step 4: Simplify right side
    109,188,175,087.80x = 17,883,086,368,506,105,561,088
  5. Step 5: Solve for x
    x = 17,883,086,368,506,105,561,088/109,188,175,087.80
  6. Step 6: Final answer
    x = 163,782,262,631.70

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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.