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Finding the Fourth Proportional to 660,163,631.80, 988,093,111.65 and 660,163,631.80

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Solution

The fourth proportional to 660,163,631.80, 988,093,111.65 and 660,163,631.80 is: 988,093,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,163,631.80 : 988,093,111.65 = 660,163,631.80 : x
  2. Step 2: Convert to fraction form
    660,163,631.80/988,093,111.65 = 660,163,631.80/x
  3. Step 3: Cross multiply
    660,163,631.80x = 988,093,111.65 × 660,163,631.80
  4. Step 4: Simplify right side
    660,163,631.80x = 652,303,137,143,426,816
  5. Step 5: Solve for x
    x = 652,303,137,143,426,816/660,163,631.80
  6. Step 6: Final answer
    x = 988,093,111.65

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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.